{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial 3c - Chromatic Aberrations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "nbsphinx-toctree"
    ]
   },
   "source": [
    "### June 2024"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This tutorial demonstrates how to assess chromatic aberrations in Optiland. We will first investigate a singlet with poor color correction, and then a well-corrected achromatic doublet."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from optiland import analysis, optic"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's define a simple singlet using a material with high dispersion:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Singlet(optic.Optic):\n",
    "    \"\"\"Simple Singlet\"\"\"\n",
    "\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "\n",
    "        # add surfaces\n",
    "        self.add_surface(index=0, radius=np.inf, thickness=np.inf)\n",
    "        self.add_surface(\n",
    "            index=1,\n",
    "            thickness=0.5,\n",
    "            radius=32.2526,\n",
    "            is_stop=True,\n",
    "            material=\"N-SF6\",\n",
    "        )\n",
    "        self.add_surface(index=2, thickness=19.8532, radius=-31.9756)\n",
    "        self.add_surface(index=3)\n",
    "\n",
    "        # add aperture\n",
    "        self.set_aperture(aperture_type=\"EPD\", value=3.4)\n",
    "\n",
    "        # add field\n",
    "        self.set_field_type(field_type=\"angle\")\n",
    "        self.add_field(y=0.0)\n",
    "\n",
    "        # add wavelength\n",
    "        self.add_wavelength(value=0.48613270)\n",
    "        self.add_wavelength(value=0.58756180, is_primary=True)\n",
    "        self.add_wavelength(value=0.65627250)\n",
    "\n",
    "        self.update_paraxial()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "singlet = Singlet()\n",
    "singlet.draw(\n",
    "    wavelengths=[0.48613270, 0.587561806, 0.65627250],\n",
    "    figsize=(16, 4),\n",
    "    num_rays=3,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As can be seen in the visualization, the wavelengths of light focus at different points on the optical axis (zooming in can also help to see this more clearly). To quantify this, let's compute the first-order longitudinal axial color:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "First-order Longitudinal Color: -0.789\n"
     ]
    }
   ],
   "source": [
    "print(f\"First-order Longitudinal Color: {np.sum(singlet.aberrations.LchC()):.3f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This can also be seen in ray aberration plots. The slope of the tranverse errors at the $P_x=0$ and $P_y=0$ locations vary with wavelength. This indicates that the defocus differs as a function of wavelength."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x333 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fan = analysis.RayFan(singlet)\n",
    "fan.view()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, let's define an achromatic doublet, which improves the chromatic aberration performance in comparison to our simple singlet:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Doublet(optic.Optic):\n",
    "    \"\"\"Achromatic Doublet\n",
    "\n",
    "    Milton Laikin, Lens Design, 4th ed., CRC Press, 2007, p. 45\n",
    "    \"\"\"\n",
    "\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "\n",
    "        # add surfaces\n",
    "        self.add_surface(index=0, radius=np.inf, thickness=np.inf)\n",
    "        self.add_surface(\n",
    "            index=1,\n",
    "            radius=12.38401,\n",
    "            thickness=0.4340,\n",
    "            is_stop=True,\n",
    "            material=\"N-BAK1\",\n",
    "        )\n",
    "        self.add_surface(\n",
    "            index=2,\n",
    "            radius=-7.94140,\n",
    "            thickness=0.3210,\n",
    "            material=(\"SF2\", \"schott\"),\n",
    "        )\n",
    "        self.add_surface(index=3, radius=-48.44396, thickness=19.6059)\n",
    "        self.add_surface(index=4)\n",
    "\n",
    "        # add aperture\n",
    "        self.set_aperture(aperture_type=\"EPD\", value=3.4)\n",
    "\n",
    "        # add field\n",
    "        self.set_field_type(field_type=\"angle\")\n",
    "        self.add_field(y=0)\n",
    "\n",
    "        # add wavelength\n",
    "        self.add_wavelength(value=0.48613270)\n",
    "        self.add_wavelength(value=0.58756180, is_primary=True)\n",
    "        self.add_wavelength(value=0.65627250)\n",
    "\n",
    "        self.update_paraxial()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "doublet = Doublet()\n",
    "doublet.draw(\n",
    "    wavelengths=[0.48613270, 0.587561806, 0.65627250],\n",
    "    figsize=(16, 4),\n",
    "    num_rays=3,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can already see that the various wavelengths appear to focus at a similar location. Let's confirm that the longitudinal chromatic aberration has indeed been reduced by computing this directly and generating the tranverse ray aberrations plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "First-order Longitudinal Color: -0.015\n"
     ]
    }
   ],
   "source": [
    "print(f\"First-order Longitudinal Color: {np.sum(doublet.aberrations.LchC()):.3f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This value was -0.789 for the singlet and is now -0.015 for the doublet, which is a significant improvement. Now let's look at the tranverse ray aberration plots:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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27Fikp6ejffv2/JolS1Swz/vpp59K7TFU7sno1KkTH4XYtGkTL4XBMpeywFFZkoMQQoh2d8ICsyiYVd+s6aYQQggh3Jm7STBxpCWmFcaWk5a3pPTMmTPPPccK3LNbedgsIstAym7l2blzJ7+Vh9VaZDdCCCG65fTdeJi57weMqCwRIYQQzSuQSHHx8R2YeJ2qks/T6TqIhBBCiCrlFUpxOfkAhGZxsBRaa7o5hBBCCK48TIHc8U8YCapmiSkFiIQQQkiRf26HQeh4jD8e7/uJpptDCCGE4Kcbf0FkdR+CKlr8SQEiIYQQAvD94j/cWgUjgRgOwvroU72PpptECCHEwGUUZCAocwd/3MFxUJV8JgWIhBBCCICTUScRL7kGuVyAsb7TITCiLpIQQohmLbywCnJhFmSFzpjcbGSVfCb1foQQQgxejjgHCy8t4Y9laZ3wTmN/TTeJEEKIgbuedB3/PjnAH3sLR8LWzLxKPpcCREIIIQZvzdU1SC1IgqzQAa3s34WZsVDTTSKEEGLACqQFmHdxHtsAAXF6c/Sv36HKPpsCREIIIQbtYuxF/Hr3V/44P+5tdPPx1HSTCCGEGLhNoZsQkR4BucQKBYl90cXHpco+mwJEQgghBiurMAtzLszhj8VprSHN9UbnKuyECSGEkGeFJoZi562dxQOXtR1cUMPRElWFAkRCCCEGa1ngMiTkJsDBxB35Cb3h42YND7uq2eNBCCGEPCtXnItZ52dBDjnche0hyW6Irg1cUZUoQCSEEGKQzjw5g78e/AUjGMFL+hEgN0XXBjR7SAghRHPWXVuHqKwouFi4IOFRL/5cVS4vZShAJIQQYnDS89OLNv8D7/sMR8g9O/64Z0M3DbeMEEKIoQqMC8TeO3v546G1piEjRwQHSxP417Cv0nZQgEgIIcSgyOVyzLs0Dyn5KahtWxvNrYcip1AKNxszNPaw1XTzCCGEGKCMggzMujCLPx5cbzBi4qrzx119XCASVm3IRgEiIYQQg7Lv7j6cjDoJkUCEJe2X4PSdVP58d19XGBkZabp5hBBCDHDg8psL3yA+Jx7VratjSospOBaWUNw3VTUKEAkhhBiMO6l3sCJoBX88uflk+Dj44ni4ohPu0bDqO2FCCCFk7529OP3kNIwFxljRcQWikmWISc+DmbEAb3g7V3l7KEAkhBBiMJnhpv83HWKZGB09O2K473CEPklDcnYhrM1ECKjlqOkmEkIIMTDhKeFYFbyKP57qPxW+jr44Fh7Pjzt4O8PcRFjlbaIAkRBCiEFYdHkRIjMj4WrhikXtFvHlpMolPCxDnImIukRCCCFVJ0ecUzxw2dmrM973eZ8/r+ybemgocRr1hoQQQvTegYgDOPjwIARGAizrsAx2ZnZ8z8e/YYpR2h6+lL2UEEJI1WF90PxL83lJC3dLdyxst5APXD5JzUV4XCYERooENZpAASIhhBC9FpYchoWXFvLHnzb5FC1cW/DH9xOzEZmSCxOhAB3rV/0eD0IIIYZr9+3dOPLoCIRGQj5waWuqyKJ9rGhffKtaDrC3NNFI2yhAJIQQoreS85Lx+enPUSgr5PsOx/iNKX7tyE3F7GF7bydYmYo02EpCCCGG5HLc5eJ9h9P8p6GZS7Pi147cjNN4XV4KEAkhhOgltqdj6pmpSMhNQE2bmlj6xlK+xFTpcFEn3KexuwZbSQghxJBEZ0XzfYdSuRRv1XkLwxoMK34tPiMfwY/T+OPejTTXN1GASAghRC8tD1yOa4nXYGlsiXVd1sHaxLr4tYjEbNxNyIKx0AjdG1B5C0IIIVWTTfuL018gvSAdDR0b4pvW35Sqv3v0lmLgskUNe7jZmmmsnRQgEkII0Tt/3v8T++7u44+/feNb1LatXep15RKednWdYGthrJE2EkIIMaykNHMvzsXdtLtwMHPA2s5rYSYqHQQevqXY+tC7kWYTp1GASAghRO/2dhQnpWn6KTp5dXruHGUn3EeDS3gIIYQYjo2hG3E08ihERiKs7rQabpalg8DEzHwERabyx701vPWBAkRCCCF6437afUw+PRkSuQS9avbCJ36fPHfOo+Qc3I7LhEhghB4NaXkpIYQQ9dp/fz+23NjCH89uPbs4m3ZJR8PiIZcDTb3s4GFnDk2iAJEQQoheSMxNxKcnP0W2OBvNXZpjUftFpZLSPJucpk0dR9hZaCaFOCGEEMNwIeYCr3fIjPUbi3fqvVPmecq+qa8WJE6jAJEQQojOyxHnYMLJCYjPiecZS9d3WQ9ToanWd8KEEEL0193Uu5hyZgrPWNqvdj9MbDqxzPOSsgoQ+EixvLSXhvcfMhQgEkII0WliqaKcxZ3UO3zj//fdvi8uOPysh0nZCIvNhJAvL9V8J0wIIUQ/xWbH8lUtuZJctHJrhflt55fKWPrswKVMDvh52sLLwQKaRgEiIYQQnSWRSfDluS9xIfYCzIRm2NR1EzytPcs9/+/rsfz+DW8nOFjS8lJCCCGql5SbhI+Pfcy3PtSxrYM1ndfAWGj80r7prSbVoA0oQCSEEKKTZHIZ5l2ch+OPj8NYYIx1ndehkVOjF6YY/ztUuzphQggh+iU9Px1jj4/Fk6wn8LDywA/df4CNiU255z9JzcXVx2lgk4v9tKRvogCREEKIzmHB3vKg5fjrwV8QGgmxosMKtPVo+8L3sKWlD5NzYCoS0PJSQgghKpddmI3xJ8YjIj0CLuYu+LHHj3C1fHG27IM3FAOXrWs5wtWmdF1ETaEAkRBCiE5hweGGkA3Yc3sPP17YbiG61uj60vcpl/B0a+AKK1OR2ttJCCHEcORJ8jDx1ETcSrkFe1N7bOmxBV7WXi99X/HKlqbaMXvIUIBICCFE54LDH2/+yI9nB8xGvzr9Xvo+mUyOg0UBorYs4SGEEKIfcsW5PJP21YSrsDK2wubum1HHrs5L33c/IQt34rNgLDRCby3IXqpEQ6iEEEJ0Jjhcc20NdtzawY+n+U/Dez7vVei9QZGpiMvIh7WZCJ3qO6u5pYQQQgypzNKnJz7FtcRrsDS25Jm0fR19K/Re5cqWjvVctKouLwWIhBBCdGbP4e7bu/nxV62+wrAGwyr8/r+KOuFeDd1gZixUWzsJIYQYjqzCLIw7MQ43km7A2tiaJ6Rp7Ny4Qu/lidOua9/yUr1ZYrpp0ybUrFkTZmZmCAgIQGBg4AvP//333+Hj48PPb9y4MQ4fPvzc/2Bz5syBu7s7zM3N0a1bN9y/f7/UOYsXL0bbtm1hYWEBOzu7Mj8nKioKffv25ee4uLhg+vTpkEgkKvgvJoQQw8pWujRwaXFw+E3rb14pOCyQSHGoqBPu39RDbe0khBBiODIKMjD22FgeHLIspT/2/LHCwSHDMpc+TsmFpYkQ3Rq4QJvofID466+/YsqUKZg7dy6uXbuGJk2aoGfPnkhMTCzz/IsXL2Lo0KEYPXo0QkJCMGDAAH67detW8TnLly/H+vXrsXnzZly5cgWWlpb8mvn5+cXnFBYWYvDgwRg/fnyZnyOVSnlwyM5jn/nTTz9h586dPPAkhBBSMWKZGLPOz8Ivd36BEYx4oeF367/7Stc4eTsRmfkSuNuaoU0dR7W1lRBCiGFIyEnAh0c/5Alp7EztsK3nNjR0bPhK1/jftRh+37uxOyxMtGtRp84HiKtXr8aYMWMwatQo+Pr68qCOzdht3769zPPXrVuHXr168dm8Bg0aYOHChWjevDk2btxYPHu4du1azJ49G/3794efnx927dqF2NhYHDhwoPg68+fPx+TJk/kMZFmOHTuG8PBw7N69G02bNkXv3r35Z7HZThY0EkIIefmm/0mnJuHQw0MQGYmwuP1iDPQe+MrX+d/VaH4/oJkHhAIjNbSUEEKIoXiY8RDDjwznpSyczZ2xved2+Dj4vNI18sVSHCoqbzGwufatbNHpAJEFWlevXuVLQJUEAgE/vnTpUpnvYc+XPJ9hs4PK8x89eoT4+PhS59ja2vKlq+Vds7zPYcGjq6trqc/JzMxEWFjYK/13EkKIoUnLT8PHxz7GhZgLMBeZY32X9RXKVvqs5OwCnLmXxB+/09xTDS0lhBBiKG4m3cTIIyMRlxOHmjY18XOfn+Ft7/3K1zkenoCsfAk87Mx5/UNto13zma8oOTmZL+UsGYQx7PjOnTtlvocFf2Wdz55Xvq58rrxzKqK8zyn5Gc8qKCjgNyUWTDJisZjftJ2yjbrQVl1ts661VyaTFd/rQpt17fvV1/bGZMdg0plJiMyMhK2JLdZ1Wgc/J79K/Xf+efUJpDI5/DxtUMPe9JWuoSvfq7pR31S1qL3qRf2Seulzey/EXsD0c9ORL81HQ4eGWN9pPa93WJn/1j+uPuH3/Zu4QyqVQCp9tfaqm04HiPpm6dKlfOnqs06fPs2XzeqK48ePQ9foWpt1pb3KwZCIiAhkZ2dDV+jK96uP7Y2SRGFPzh7kyHNga2SLkaYjER0YDfZ/lbHrBstYaoR6xmnPJSR7mdzc3Ep9pr6hvkkzqL3qQf1S1dC39l4quITDeYchhxx1RXUxUDoQl05VfGVhSZmFwLl7ir7JPuMeDh++p3X9kk4HiE5OThAKhUhISCj1PDt2cyu72CR7/kXnK+/ZcyyLaclz2F7CimLXeTabqvJzy2vb119/zRPulByl9fLyQufOneHoqH3Tz2WNarB/YN27d4exsTF0ga61Wdfae/bsWd4Z161bFx06dIC207XvV9/aezTyKHZe3olCeSF87H2wpuMauFqUXonxKu7GZyH60iVegHjGkK6wf8UaUykpKZX+bH1CfVPVovaqF/VL6qVv7ZXIJFh1bRX+ufcPP36r9luY1XIWjIWV/2/bdiESMtxDMy9bfPhOgFb2SzodIJqYmKBFixY4efIkz0SqXDLAjidOnFjme9q0acNf/+KLL4qfYz8Y7HmmVq1aPIBj5ygDQtYZsmym5WUsLe9zWCkMlk2VlbhQfo6NjQ1PplMWU1NTfnsW+4HVhX9kutpeXWyzrrSX7QlW3utCe3Xt+9WX9rLkYJtvbMZ3od/x485enfHtG9/Cwvj1Zqf2X1fMFHTxcYGLrWWl2kmob9IUaq96UL9UNfShvdmF2XxJ6fmY8/z4i+Zf4KNGH8HIqPLJzlh/92eIIjnNOy28Xvk7qqrvVKcDRIaNao4cORL+/v5o1aoVz0Cak5PDs5oyI0aMgIeHB18iw3z++efo2LEjVq1axctQ7Nu3D8HBwdiyZQt/nf2PzoLHRYsWwdvbmweM33zzDapVq1YchCprHKampvJ7tg8yNDSUP89GpKysrNCjRw8eCA4fPpyXzWCjVSwz6oQJE8rsaAkhxBDliHPwzYVvcPyxYnnPhw0/5J2wUPB6xexZ7cM/rymWpb7X0kslbSWEEGI4mUonn57M782EZlj6xlJ0q1E6yWVlhDxJx72EbJgZC/BW02rQVjofIL733ntISkri9QVZEMZm/Y4ePVqcEIYFcMrRIoYVt9+7dy8P1mbOnMmDQFa+olGjRsXnzJgxgweZY8eORXp6Otq3b8+vaWZmVnwO+zxW21CpWbNmxXsyOnXqxJe+Hjp0iM86stlEVkuRBbILFiyoom+GEEJ0pwMWCUSYFTALg+oNUsm1j4UlIC1XDDcbM3Ssp10FiAkhhGivk49PYtaFWXwA08XchWfRbuj0ajUOy7MvMIrf921cDTZm2jvDqvMBIsOWk5a3pPTMmTPPPccK3LNbedgsIgvkXhTMsaL37PYiNWrUeOWkCIQQYghOPD6B2RdmKzpgCxes7rQaTZybqOz6vwYpMsS96+9JtQ8JIYS8lFQmxYaQDdh2axs/9nf1x4qOK+Bk7qSS62fli3Hwehx/PKSVdq9s0YsAkRBCiG6QyqVYH7oeO8N3qqUDZp6k5uJ8RDLYNpHB/trdCRNCCNGO2ruzLs3C5bjL/HiE7whMbjGZr25RlUM34pAnlqK2syX8a9hDm1GASAghpEok5SXhp5yf8DD8YXEH/EWLL2AsUO0yG+XsYfu6TvBy0J0yDIQQQqoeK6+08ehGxOfGw1xkjgVtF6BXrV4q/xzl8tIhLb1eK9FNVaAAkRBCiNqdjT6LWednIV2Szjf8L2y3UC0dsEQqw+9FBYiHtqqu8usTQgjRnyWlW29txdbsrZBBhho2NbCm0xp423ur/LPCYzNxPTqDl10a2NwT2o4CREIIIWpTKC3EmqtrsPv2bn7sJnDDpl6bUM+pnlo+79SdRCRkFsDB0gTdGlS+hiIhhBD9FZ8Tj6/PfY3ghGB+3LtGb8xpOwdWJlZq+bxfimYPWb/kZKX91QwoQCSEEKIWjzIeYcbZGbiTeocfD60/FPXi66GWbS21febPlx/z+3f9vWAieprBmhBCCGFORZ3CnItzkFGQwZeU9jHpg5ltZ/L66uqQXSApLrv0Qesa0AXUexJCCFEpVgj4t7u/4b1D7/Hg0N7UHhu7bMT0FtNhbKS+tN4Pk7Jx7r4iOc2wAFpeSggh5KlccS4WXlqIz09/zoPDBg4N8EuvX9DMpJla9wTuvxaNnEJFcpq2dRyhC2gGkRBCiEqX7cy9OBcXYy/y4wC3ACx5YwkvZSEWi9X62XuuKJbwdKnvQslpCCGEFAuOD8Y3F75BdLZiJm+k70h83vxzQAbcwi21Dpj+XLSyZXjrGlqfnEaJAkRCCCEq6QQPPjyIb698iyxxFkyFprzzHdZgGARG6l+sklcoxe/BiuQ0H7TRjSU8hBBC1Ctfko/1IeuxO3w35JDD3dIdC9otQGv31vx1sUy9A5dXHqXiXkI2zI2FeKeF9ienUaIAkRBCyGtJzkvGgksLcPrJaX7s5+SHRe0XqXWv4bP+vh6DzHwJqjtYoKO3c5V9LiGEEO10M+kmZp6ficjMSH480HsgpvtPV1simrIoZw8HNPOAjZn6tlioGgWIhBBCKj1r+NeDv7AyeCXfz8EKCk9oOgEfNvxQpcWFK9KOXZcUnfAHratDINCNJTyEEELUs9dwU+gmnj1bJpfB2dwZ89rOQwfPDlXajsTMfPx7K754eakuoQCREELIK4vKjOKzhlfir/BjHwcfLGq3CPUd6ld5WwIfpSIsNhOmIgEGt/Cq8s8nhBCiHS7EXMDCywsRkx3Dj/vU6oOZATNha2pb5W3ZdekxJDI5/GvYw7eaDXQJBYiEEEIqjO3X+CnsJ2y+vhkF0gJe9P7Tpp/iA98PYCzQzPKZbecf8XtWfNjeUj1pygkhhGivlLwULA9ajsOPDvNjttdwduvZVT5rqJQvlmLPFcXKltHtq267hapQgEgIIaTC+znmXZqHe2n3+DHb5D+n9Rx42Whu1u5xSg6O307gj0e3r6mxdhBCCKl6bIvB3w/+xorgFXyrA0uK9r7P+5jUbBIsjDWXzfrPazFIyxXD094cPRq6QddQgEgIIeSFMgszsSlkE3658wvPAmdnaocZLWfgzdpvajxl944LkZDLgY71nFHXxVqjbSGEEFJ1HmY8xJIrS3AlTrHVob59fb7XsJFTI40HrdsvKFa2fNi2JoQ6uC+eAkRCCCFlYpv7Dz44iNVXVyM1P5U/1692P0xrOQ0OZg6abh4y8sTFpS10cQkPIYSQyiWh2XxjM34O/xkSmYSXVWJbHYb7DtfYVoeS/ruXhIjEbFiZivBeS93cF08BIiGEkOfcSb2DxZcXIzQplB/XtKnJN/q3qdYG2uLXoCjkFEpRz9UKb3g7abo5hBBC1Dwz92/kv3w5aWJuIn+uo2dHfNnqS3hZa08gtq1oX/y7/l6w1qHSFiVRgEgIIaQY28OxMWQjfrv3G59BNBeZY1yTcRjeYDiMhdrT0RVKZNh+XlHb6qN2tTS+1JUQQoj6PEh/gKVXlhZnzva08sRXrb5CR6+O0CbhsZk4dz8ZbFXpqHa6uy+eAkRCCCE8GPwr4i+svba2eDlpr5q9MNV/KtwstW+D/YHQGMRn5sPF2hRvN/fQdHMIIYSoQY44B9+Hfo89t/dAIlcsJx3deDQ+avQRf6xtNv/3gN/39asGLwfNJcl5XRQgEkKIgbuedB3LA5fjRvINflzbtjZfThrgHgBtJJPJizthtvfQVCTUdJMIIYSoeNDy0MNDWHd1HRLzFMtJO3t15gnSPK09oY2iUnJx6EYsfzyuY23oMgoQCSHEQMVlx/EZQ2XdKAuRBd/o/36D97Vio395joUn4GFSDqzNRHg/oLqmm0MIIUSFriVc4zUNw1LC+DHbX8iWk2qqpmFFbTn3ALKirNoNq9lCl1GASAghBpgBbtutbbzgPSt2bwQj9K/bn9eNcrFwgbYnKfi+aPZwRJsa6ksAIJXA4r956rk2IYSQ50RnRWPN1TU49vgYP7Y0tsSYxmPwge8HWrmctKSkrAL8FhzNH4/vVAfqIsh4jKpAASIhhBjQkh1WUHj9tfVIykviz/m7+mN6y+nwdfSFLrj0MAXXn6TDVCTAh23VWNoiZBfMb+xS3/UJIYRw2YXZ2HpzKy9bUSgr5MXuB3oPxISmE+BkrhsZqndceMSTpzWrboeAWuorA2VxYRmqAgWIhBBiAILjg/mSndupt4szwLEENF2rd9WpDKDrT94vTh/ubK2mEeX8TODUYvVcmxBCCCeVSbE/Yj82hGwoTo7G9r5P95+O+g71oSvScgqx65JiZm98xzrq61MfX4Tpg6OoChQgEkKIHnuS9YQv2Tn++Dg/tjK2wid+n/B9hiZCE+iSyw9TcPlhKoyFRmpdwoNzq4DcZEjt2AzldfV9DiGEGKgrcVf4oOW9tHvFtXbZoCWra6hLg5bKuofZBRL4utugu68r1EImA/6diapCASIhhOihrMIs/HjjR+y+vRtimZgv2RnkPYgnoXE0d4QuWndCMXv4XksvVLMzV8+HpDwALm3iD3Pas874PfV8DiGEGKDHmY+xMnglzjw5w4+tTawxvsl4DKk/RKtq7VZUem4hdl5U1OT9vJu3+oLb0N1AbAhkxlYAMqFuFCASQogekcgk+PP+n9gUuql4yU4b9zZ8n6G3vTd01ZWHKXz/oWL2sK56PkQuB458CcjEQN1uENfsop7PIYQQA5NRkIEfbvyAX+78wvspoZEQ79V/jweHdmZ20FXbimYPG7jboIe6Zg/z0oATiqRpeQGfA/gS6kYBIiGE6IkLMRf4yGxEekTxkh0WGL7h8YbOLdl51roSew891DV7eO8oEHEcYCU+ei0DdPw7I4QQTWMrWH67+xs2X9+M9IJ0/hwrV8GWk7Kau7osPbcQOy4UzR52VePs4emlQG4K4OyDfL8RFCASQgh5ORYQrgtdhwuxF/ixjYkNX0r6bv13tbqeYUVdepCCiw8Us4efdlbT7KE4Hzj6leJxmwmAU10gJUU9n0UIIXqOlSQ6FXWK74GPzFQEUXXt6vIENG092kIfbDn7UP2zh/G3gKAfFY97LwOqaBkuBYiEEKKjkvOScSD3AK4ducZLWIgEIrzv8z7G+o2FraluF+kt+UfG8n/v8MdDWlZX3+zhhbVAWiRg7Q50mK6ezyCEEAMQI4nB2JNjcTXxKj92MHPAxGYT8Xbdt3k/pQ8SM/OLZw8nd/OGQGCknsQ0/0wF5DLAdwBQu1OVDVzqx/9KhBBiQPIl+dgVvgvbbm5DriSXP9e9RndMbj4ZXjZe0CfHwxMQEpUOc2MhJnVV0+xh0l1F5lKm5xLAlCUBIIQQ8iric+KxNngt/sn+B8gGL24/wncERjcezYve65MNpyKQJ5aieXU79WUuvbYTeHIZMLECelZt6SUKEAkhREewWcJ/Hv6DddfWISE3gT/nKfTE/M7z0cqjFfSNVCbHin/v8sej29eCi7WZekZoD34OSAsB755Aw7dV/xmEEKLHcsQ5fMCSDVwWSAv4c31q9sEXLb6Au5U79M3jlBz8EhjFH3/Zy0c9ew8z44DjcxWPu3wD2HqiKlGASAghOiAoPognoAlPCefH7pbumNRkEiRhEjRzaQZ9tD8kBvcTs2FrbowxHdSUzODaT0DUJYCNbvddRYlpCCHkFQvdbwzZiJR8xdLH5i7NEZAbgDFtx8DYWPf3wJdl9fF7kMjk6FjPGQG11VQ26sgMoCAT8GgBtBqDqkYBIiGEaLHIjEi+yf/Uk1P8mC3T+bjxx/igwQcQyoU4HH4Y+ihfLMWa44oCyp92qsODRJXLjH06Qtv1G8BOv5bnEkJIVWXNrm5dHVP8p+ANtzdw5MgR6KtbMRn4KzSWP57es756PuT2IeD23wDbr9lvPSAQoqpRgEgIIVooPT8dm29sxq93foVErqgZNajeIF4zSlnoXiwWQ1+x2lIx6XlwtzXDyLY11VPz8O9JQEFG0QjtWNV/BiGE6Jn7afexKnhVqazZrF9iNQ1ZoXt97pfkcjkW/aNYxfNWk2po5KGGZHA5ycChLxSP234GuDWCJlCASAghWqRQWsgLCbOCwlmFWcU1o6a0mII6dnVgCBKz8vHd6Yji/R1mxmoYPb26A4g4AYjMgAGbNTJCSwghupQ1my0lZUtK9TVr9sscC0/A5YepMBUJ8GVvH/UMXLLgMCcJcPEFOhWVXtIAAfTApk2bULNmTZiZmSEgIACBgYEvPP/333+Hj48PP79x48Y4fPjwcyMEc+bMgbu7O8zNzdGtWzfcv68o0qyUmpqKYcOGwcbGBnZ2dhg9ejSys7OLX4+MjOSbVp+9Xb58WcX/9YQQfcB+7xyLPIb+B/rzZTssOKxnXw9bum/Bpq6bDCY4ZFYfu4ecQimaeNnxUVqVS30E/Dtb8bjrHMC5nuo/gxBC9ECeJA9bbmxB3z/74n/3/8eDQ5Y1++/+f2N6y+kGExwWSmRYevg2fzzmjdrqKbl083fg9kHF0tK3NwMiU2iKzgeIv/76K6ZMmYK5c+fi2rVraNKkCXr27InExMQyz7948SKGDh3KA7qQkBAMGDCA327dulV8zvLly7F+/Xps3rwZV65cgaWlJb9mfn5+8TksOAwLC8Px48dx6NAhnD17FmPHPr9E6cSJE4iLiyu+tWjRQk3fBCFEV91IuoGRR0di6n9TEZ0dDWdzZyxouwC/vfkb2lRrA0MSHpuJX4Of8Mdz3myg+tpSUglwYDwgzgFqtAcCxqv2+oQQogdYIHjwwUH0298PG0I28JJKjZ0a46deP2F1p9V6V1LpZXZdikRkSi6crU0xvpMaBmwzooHD0xSPO34FuDeBJun8EtPVq1djzJgxGDVqFD9mQd0///yD7du346uvnp+aXbduHXr16oXp0xWFkBcuXMiDvI0bN/L3slH8tWvXYvbs2ejfvz8/Z9euXXB1dcWBAwcwZMgQ3L59G0ePHkVQUBD8/f35ORs2bECfPn2wcuVKVKv2dMTb0dERbm5uVfRtEEJ0SUJOAtZeW4tDDw/xYzOhGT5s9CFGNRwFC2MLGBr2+3fBoTC+yuZNP3e0qOGg+g85u0KRtZTVlRqwCRDo/DgpIYSoVGhiKJYFLsOtlFvFWbO/aP4FetXqBYGR4f3OTM4uwLqTipWE03vUh6WpSPUDl//7GMjPAKo1B9pPhqbpdIBYWFiIq1ev4uuvvy5+TiAQ8CWhly5dKvM97Hk241gSmx1kwR/z6NEjxMfH82so2dra8qWr7L0sQGT3bFmpMjhk2Pnss9mM49tvP62j9dZbb/GZx3r16mHGjBn8uDwFBQX8ppSZmcnv2YZfXdj0q2yjLrRVV9usa+2VsRpzRfe60Oaq+n5Zofvdd3Zje9h25EsVKxP61eqHCU0mwMXCpcJt0LWfh5e19+/rcXx/h5mxAFO71VX5f5fR4wsQnl0ONicp6b0CcisP1piXttfQUd9Utai96kX9UvlYfd31oetxJFKRhdRCZIHRDUdjaP2hMBOZQSqRgv2ftrRXFSrS3sX/hCMrX4KG1azxlp+ryv/bBP99C2HUJchNrCAZ8AObvgVkZX9GVX2vOh0gJicnQyqV8tm9ktjxnTt3ynwPC/7KOp89r3xd+dyLznFxUfwRpyQSieDg4FB8jpWVFVatWoV27drxwPF///sfX8rKAtHygsSlS5di/vz5zz1/+vRpWFjozmwCm5HVNbrWZl1pr/LfQ0RERKk9uob6/bIZsjBxGI7mHUW6PJ0/V11YHX3N+8IjzQPBZ4L1+ufhRe3NkwBLQlmiGCN0dRPjxqXTuKHCzzSWZKHzndkQyWWIcngDIVGWQNSLS4Tk5uaqsAW6i/omzaD2qgf1S88rlBfifMF5nMs/BzHEMIIRmpk0Q3ez7rB+bI1TjxVllvTx5+Fl7X2QCewPE8EIcvRwSMO/R1VbwsMx6zbaRazij6+6D0fMJbbPUbHXUZP9kk4HiNrMycmp1Exly5YtERsbixUrVpQbILKZ0JLvYaO0Xl5e6Ny5M1+qqu3YqAb7B9a9e3edKY6qa23WtfayvbmsM65bty46dOgAQ/5+76TewYqrKxCSEcKPXS1c8UXTL9CjRg+ewErb2qsOL2rv4sN3kCmOQk1HCyz7qC3PEqcychmEv74PgTgNcse6cP/oZ7izJaYvkZKiKPxs6KhvqlrUXvWifumZ5GhRx7AlZAvi8xWBc1PnppjWYhp8HXy1rr3q8KL2SqQyDPieJZfMxrv+nvi0f0PVfnh2AkTbZvDgU+b3Ppr0W4gmWtIviXQ9CBMKhUhISCj1PDsub98fe/5F5yvv2XMsi2nJc5o2bVp8zrNJcCQSCc9s+qL9hmyZ6otGVExNTfntWewHVhf+kelqe3WxzbrSXjZ7rrzXhfaq4/tVpgb/8/6fkEPO9xmOajSK38xF5gb181Bee1limp+vKBLTzO/fCFbmKs7cdnoJ8EBR0sJo0A4YW9pXuJ2E+iZNofaqB/VLCuEp4Xyf4bXEa/zYzdINU1tMRc+aPSs9aKmLPw8vau+uK49wNyEbdhbG+LK3r2r/e6RiYP8YIDsecKoPwZsrIajA9avqO9XpnaYmJiY8K+jJkyeLn2NrytlxmzZlZ/5jz5c8n2FBm/L8WrVq8SCv5DlstJTtLVSew+7T09P5/kelU6dO8c9mQWB5QkNDSwWdhBD9JZaKsfPWTry5/02eGpwFh71r9cbBtw/i06afqiw41HVSmRxf/3mD3/du5IaO9ZxV+wF3jwD/LVM87rcOcPdT7fUJIUSHsEHLuRfnYsihITw4ZIOWrE/6e8DfPAmNKoJDfRCdlotVx+7yxzN6+sDB0kS1H3DsGyDqImBqAwzZA5hYQpvo9Awiw5a9jBw5kieMadWqFc9AmpOTU5zVdMSIEfDw8OB7KJjPP/8cHTt25PsD+/bti3379iE4OBhbtmzhr7N/GF988QUWLVoEb29vHjB+8803PDMp20PINGjQgGdCZdlTWeZTNj09ceJEnsBGmcH0p59+4gFss2bN+PGff/7JM6tu3bpVQ98UIaQqsCU7/0X/x2sZPs58zJ/zdfTFV62+QjMXxe8D8tSOC49wPToD1mYizHtLxct3kiOAP4vKD7UaCzQZotrrE0KIjiiUFmLP7T344cYPyGFlfgD0qdUHk1tM5rOHpHQ/PnP/LeQWStGypj2GtFRxSY/rvwJXvlc8ZvUOnbyhbXQ+QHzvvfeQlJTEC9uzNeVsGSgrQaFMMhMVFVW8nIBp27Yt9u7dy8tYzJw5kweBLHFMo0aNis9h2UZZkMnqGrKZwvbt2/NrmpmZFZ+zZ88eHhR27dqVX/+dd97htRNLYiU0Hj9+zBPY+Pj48JqNgwYNqpLvhRBS9VhAuDRwKS7EXODHjmaO+Lz55+hft79BpgZ/maiUXKwsGqGd2acBXG2e/o59bbmpwN53gYJMwKs10GOx6q5NCCE65HzMeXwb+G3xoGVDx4Z80LKpi2LrFCltf0gMzt5LgolIgG/f8VNtPd6oK8DfkxSP35gG+PSFNtL5AJFhgRq7leXMmTPPPTd48GB+Kw+bRVywYAG/lYdlLGWBZnnYrCa7EUL0X644F1tvbsXOsJ0Qy8QwFhhjuO9wjGk8BlYVSIZiuCO0N5EvlqF1bQfVjtBKCoFfPwBSHwC21YH3fgZEKl4eRAghWi4mOwbLA5fj1BNFFlIncydez7BfnX40aPmCmocLDoXzx5939UYdZxX24amPgH3vA9ICwOdNoPNMaCu9CBAJIURTQc6JqBNYHrQc8TmKDHDtPNrh61Zfo4ZNDU03T6v9EvgE5yOSebbSbwf6qW7fi1wOHPwceHwBMLEG3v8VsCpdlogQQvRZgbQAO27t4AOX7LHQSIhhDYZhfJPxNGj5kj599v5bSM8Vo4G7DcZ2qK26i+elA3vfA3KTAfcmwMAtgICVdtJOFCASQkglPMp4hKVXluJS3CV+XM2yGma0moEuXl1ok/9LPE7NxaJ/FCO003vWR00nFW7OP7UQuL4XMBIC7+4EXCuXqp0QQnTR2eizfDnpkyxFZuiWbi0xs9VM1LWvq+mm6cTS0qNh8RAJjLBikB+MhSqaZRXnAb8MBZLvAtbVgKG/al1SmmdRgEgIIa+4nJRt8t8VvgsSmQQmAhNesmJ049GUmbQCZHJgxv8Um//Z0tKP2tVS3cUvfQecUxQcRt9VQN1uqrs2IYRoMRYQsuWkZ6IVW6tczF0wreU09KpJmUkrIjY9D3P/CuOPv+jmjUYetqq5sFQC/PHR04ylw34DbLS/ogEFiIQQUsGlJ/8+/hcrglYgMVdRB7WDZwd81fIreNmoOMOZHjsZa4RrUemwMhVh5eAmqtv8z7LC/fu14nGX2YC/IpM1IYTos3xJPrbf2o5tN7ehUFYIkZGI74H/pMknsDTW7lkqbRq4/Gp/GLIKJGjqZYdxHeuo6MIy4OBnwN3DvA4vhu4D3BpDF1CASAghL/Ew4yGWXF6CK/FX+LGHlQfPANfJq5Omm6ZTWDmLw08US3bm9vOFp72Fai5860/gwHjF44DxisxwhBCi5848OcOXk7JkNEyAewBfTlrbToV75wzA6VgjXIpKhZmxAKvfbQKRKpaWsv3wh6cCoXsUWx4G7QBqtoOuoACREEJeMDL7480f+egsW05qKjTlS0lHNRwFMzYaSCosM1+ML367AZncCL0aumJQC0/VXDjsAPC/jwG5FGg6DOi5hKWiVs21CSFEC7GkaCwwPBl1kh+7Wrhiesvp6FGjBy0nfUUhT9JxqGjgcs6bDVFbFVlL5Sw4nAYEb2e1EYAB3wE+faBLKEAkhJAyXIy5iEVXFhVv9GfLSVl2Uk9rFQU2BrY89+v/3UR0Wh4cTOVY3N9XNX/EsOCQ7e1gwWGTocBbG4ASdW8JIUSfsIHKvbf3YlPoJuRKchXLSRsOxzi/cbAwVtGKDAOSkSfG5KKByz6NXDG0lZdqlpUe/RII2vo0OGwyBLqGAkRCCCkhS5aFry98zfcbMi4WLjww7Fq9K43MVtLewCj8czOOZ4Yb6S2Bjbnx61/02s+KvR1yGeD3HtB/k1anDCeEkNdxK/kWlgQvwZ3UO/y4qXNTfNPmG9Szr6fppunswOVX/7uBmPR8OJrKsUgVA5dSiaJfYstKWXDYfyPQ9H3oIgoQCSGEb1KX4ff7v2Nd5jrkZ+bzIsLv+7yPic0m0kb/1xASlYb5fytKWkzpXhcembdf/6IXNwLHZikeNxsO9FtHwSEhRC9lFWbhYO5BBB4LhBxy2JjYYHKLyRjoPZCK3b+GLWcf4siteBgLjTCyngTWZq85cCnOB/43GrhzSLHnkA1aNh0KXUUBIiHE4LER2YWXFuJG8g1+7Ovgizlt56ChY0NNN02nJWUVYPzuayiUytDD1xWj29bE0aOvESDKpMDxOcCljYrjNhOBHotozyEhRD8zZ0f+i2WBy5BcmMyf61e7H6b6T4WjuaOmm6fTLkQkY9lRxUzsrN71YZ9y6/UumJMC/DYceHwBEJoCg3cAPn2hyyhAJIQYdE1Dtpdjz+09kMqlsBRZorNxZ8ztMRdmppSE5nWIpTJM3HsN8Zn5qONsiVXvspIWr3HBgmzgzzGKdOFMl2+AN6ZScEgI0Tts7/viy4txIfYCP3YSOGFRp0Vo56U7WTC1VXRaLu+bWGkLlizt/VZeOHLkNQLEpHvA3neBtEeAiTUwZA9QuyN0HQWIhBCDdCrqFJYGLuXZ4BiW/W1qs6kIOhMEIS1XfO2R7wUHw3HlUSqvd/jDcH++fEcsFlfughnRwN4hQMJNxegs2/TfeJCqm00IIRolloqxM2wnfrjxAwqkBTAWGOOjhh/BPcodrdxaabp5Oi+nQIKxu64iLVeMRh42WDSgEYwgq/wFH54BfhsB5GcAdtWBob8Crr7QB5UOEFlHHx8fj9zcXDg7O8PBwUG1LSOEEDVIyEnAkitLcOrJqeKahjMDZvIspZUOYEgpOy9G4ufLj/nkHps5rOvyGmnDnwQBvw4DshMAS2dgyC+AV0tVNldvUT9NiO4ITQzFvIvz8CDjQXFNw9kBs+Fh4YHDT4pWTpBKk8rk+HxfCMLjMuFoaYLNH7SAmbEQYrGscmUsgrYCR75UZNH2CgDe2wNYOUNfvFKAmJWVhd27d2Pfvn0IDAxEYWEhHylmWX88PT3Ro0cPjB07Fi1bUudNCNG+JDR/3PsDa66uQbY4m6cHH9lwJD5p8gnMReaabp7eOHUnAQsPKZLSfNXLBz0bulU+VTjba3hyPiCTAC6+wPu/KkZpSbmonyZEt+SIc7D26lr8evdXnoTGwcyB1zTsW6sv/3dLA5eqsfTwbZy4nQgTkQBbRvjD076SZUHyM4GDnwNhfyqOG7+rKLFkrF/bUiocIK5evRqLFy9GnTp10K9fP8ycORPVqlWDubk5UlNTcevWLZw7d453PgEBAdiwYQO8vb3V23pCCKmAyIxIzLs0D1cTrvJjPyc/zG07l9KDq9itmAxM2hvC93a85++FsR1qV+5CuanA/nHAfUWpETR8G+i3HjCzUWl79Q3104TolrPRZ7Hg0gIk5Cbw47frvs2T0Nia2mq6aXpl16VIbD3/iD9eNbgJWtSwr9yF4q4Dv38IpD4EBCKg6xyg7Wd6uRe+wgFiUFAQzp49i4YNy87q16pVK3z00UfYvHkzduzYwTsh6ngIIZoklonxU9hP+D70exTKCvlM4WfNPsNQn6G0z1DFHiXnYOT2QOQUStG2jiMWsr0dlek0Iy8oktFkxij2G/b+FmgxSi87YFWjfpoQ3ZCSl4JlQctw5NERfuxp5ckHLVu7t9Z00/TOoRuxmPt3GH88tXs99GtSrXIrWoJ+BI7NBqSFgK0XMGg74KW/+0IrHCD+8ssvFTrP1NQU48aNe502EULIawtLDsPci3NxN+0uP25XrR0vKsz2HBLVSsjMx/BtV5CSU4iG1Wzww/AWfBnPK2cpZctJA7cojh3rAoN3Am6N1dJmfUT9NCHajS33PvTwEA8OMwoyeB3DEb4j8GnTT2mrgxqcv5+Myb+G8i2Dw1vXwMQudV/9IikPgL8/Ax6fVxzX76OocWih33u6KYspIUTvSld8F/odfr79M993aGdqhxktZ+DN2m9WbkaLvFBqTiFGbAtEdFoeajpaYOeoVq9ecPjBaeDgZ0B6lOK4+Qig5xLA1FotbSaEkKoWkx3D6+0qS1fUt6+P+e3mU71dNbn6OA2f/BwMsVSOvn7umPdWw1f7G0AmBa5sBk4uBCR5gLEl0G0e0GqMQaxoqXSAmJ+fjxs3biAxMREyNvVawltvvaWKthFCyCu5FHsJ8y/N5x0x06dWHx4cUlFh9UjPLcSwrVdwNyELLtam+Hl0AJytTSt+gawE4OQCIHS34ti2OvDWeqBOZ7W12ZBQP02I5kllUuy9sxcbQjYgT5IHE4EJxjcdz5OksTIWRPVCotKKtzy0r+uE1e82gVDwCkFdbAhweDoQHaQ4rtVBkYjGviYMRaUCxKNHj2LEiBFITk5+7jUWnUulUlW0jRBCKoQt1VkZvBIHIg7wYzdLN3zT+hteuoKoR0aumAeHt+My4WRlir1jWsPLoYJZ4SQFQOB3wH8rgMIsxXMtxyhGZ01foyQGKUb9NCGady/tHi9dcTP5Jj/2d/XH3DZzUdPWcAKNqnYjOh0jtgciu0CC1rUdsGVEC5iKhBUftDy1AAjZwxYEKwrf91gItPjQIGYNXztAnDRpEgYPHow5c+bA1dVV9a0ihJAKOv74OBZfXoyU/BQYwYgnoPms+WewZMtBiFqkZBfwDjgsVlFP6pcxARWrdSiXwy39KkRb5gJpioxyqNYc6L1Mrzf7awL104RotuD9jzd/xI83foRELoGVsRXPTjrQeyDfd0jU4+rjVHy4IwhZ+RK0qumAbSNbwsLk5aGOQFYIwaX1wPk1Twct/d5TDFraVCKpjR6oVICYkJCAKVOmUKdDCNGY1PxUXvD+30hFKYTatrUxv+18NHVpqumm6bW4jDx8sPUKHiTl8OBwz5gAeLu+ZK8gyxBw/ziEpxcjIC5U8ZyVq6Lz9RsCCOgPJlWjfpoQzQhPCcc3F77hs4dMF68umNV6FlwsXDTdNL1PSDNmVzDyxFK0rGmP7aNawtL0JWGOOB+CoG3oHrYMQkmG4jkatKx8gDho0CCcOXOG11oihJCqzgL37+N/seTyEqQVpEFoJMRHjT7CuCbjYCI00XTz9NrDpGwM3xaImPQ8VLM1w+6PA1Db2erFgWHECeDMt0BMMFgYKBGYwqj1eAg7TqMkNGpE/TQhVatQWojN1zdj+63tkMqlsDe154Fhz5o9Nd00vXf0Vhw++yUUhVIZOtRzxg8ftIC5yQuWlYrzgJDdwLnVEGbFgp0pt/WCUaevgSZDadCysgHixo0b+dIVVkOpcePGMDYuvcn2s88+U1X7CCGkWHJeMl9OeiLqBD/2tvfGwnYLKQtcFbj8MAXjdl9Feq4YtZwseXDoYWdefud74zfg8ndA0h3FcyJzSP1H43i2D7p1HgLhM/0GUS3qpwmpOreSb/FZw4j0CH7MgsKZATPhYKbfpRC0YcD4x3MPsfTIHT4e2buRG9YOaVr+nsOseCBoKxC0DchLVVzDxgPXbbuj4bAlMDajrSmvFSCyWkvHjh2DmZkZH6EsmTaWPaaOhxCi6k7g8KPDWBq4lCekERmJMMZvDMY0HgNjIQUa6va/q9H46s8bPF14Ey87bB3hX3a20rTHQMjPQPB2IDdF8ZyJlWKDf7vPITO1R+Hhw1XefkNE/TQh6lcgLeBllXaG7eRllVhAyBKkdavRTdNN03tiqQxz/grDL4GK8kgftK6Oef0aQiR8ZvaPRY4sGynrl27+AcjEiuftqgNtP4Ok8VA8PnYSDWkF0usHiLNmzcL8+fPx1VdfQUDTsIQQNUrKTcKCywtw5skZfuzj4MNnDdk9US+ZTI41J+5hwynFqHjfxu5Y9W4TmBmXGJ0V5wN3DikCw4f/KTK/KUtWBHwCNB8OmNkWnVvUMRO1o36aEPW6nnSdzxo+ynhUXFbp61Zfw87MTtNN03sZeWJM2HMN5yOSeXLR2X198VG7mqXrHGYnAtf3KZaSJt99+rxXANBmAlC/LyAUUb+kygCxsLAQ7733HnU6hBC1zhoeeniIzxpmFWZBJBBhnN84fNT4I6odVUVlLKb/cR3HwhP48aed6mBaj/oQsFpSkkLg0X9A2H5FcJhftLmfqd0JaDEK8HlT0fkSjaB+mhD1yJfkY2PIRvx8+2c+a+hk7sRnDbtU76LpphmEO/GZ+HTPNTxMyoGFiRDrhzRDN9+iZFx5acCdf4CwA8DD04BMonheZA40HKAop+TZQqPt1xWV6r1HjhyJX3/9FTNnzlR9iwghBi8hJ4HPGp6NPsuPfR19+axhPft6mm6awdSRYh1wdFoeTIQCLHq7Ed5tZAvcOQjcO/p8UGjrBTQdBjR9H7CvocmmkyLUTxOieiGJIZhzYQ4iMyP58Vt13sKMljNga1q0SoKoddD49+BofPPXLRRIZHCzMcPWkf5oZJUFBO9QBIYPzzxdQsp4+APNPgAavQOY2Wiy+YYRILICu8uXL8e///4LPz+/5za/r169WlXtI4QYWAfAit2vCFqBLHEWnyn8tOmn+LDhh3wGkaj/+//pYiQWH74NmVSCrnYJWOSXAvdbm4DDl56OxirLVDR4SzEqW70NIKhgIWJSJaifJkR1csW52BCyAXtu74EccriYu2Bu27no4NlB000zCLmFEsw+cAt/XouBOfIxvnoSPqvxBOZ/zQYSw0uf7NJQ0S/5DgCcaVC5sir1F9fNmzfRrFkz/vjWrVulXiu1/pcQQiooPice8y7Ow4XYC/y4sVNjPmtYx47S9FeFxNQMbP99PwRRF/Gj4A4CTO7DPD8XCCxxkmNdoG53oMGbFBRqOeqnCVGNoPggzL04F0+ynvDjt+u+jWktp8HGhGakqsL1+5H47c/fUS8rFPtN7sBP+AjCRCmQWHSCkQDwbAl4s76pPwWFmgwQT58+rarPJ0RvSWVy5BRKkFsg5aNfuYXsXop8sZSn8WCzNXia0gMigRFP/mEqEvB7M5EQZiYC2JgZl04KomfY9/C/+//DyuCVyBHnwERggonNJmK473CaNVQXllgmIQyIC4U8NhTpD4Nhn3EXX0EKKCea2A8mWzZVvTVQtytQtxvgSMG6rqB+mpSnUCLjfVJOoRR5RX1TToGU15B7tl9i2DJzM2MBLx2gvGcFyG3MRM9njNSzWcO119bilzu/8GNXC1fMazsP7T3aa7pp+is3FYi7zm/SmBBkPAxGk4JoNGGvKf8cYD+cNp5AzXaAdw+gThfAgsqJqFql//rKz8/HjRs3kJiYCJlMVmpksl+/fqpqHyFaSSKVITY9H5EpOXicmovo1FwkZRUgKbuA3ydnFyI1pwCykr3sa2Cdsp25Ce+QpXlCHEoPhYOlKVxs2M0MrtamcGX3NmZwsjLRmU47NjuWzxpeirvEj5s4N8GCdgtQ27a2ppumH/IzgZT7QNI9ILnolnQXSH0IyKX8FDaXZF90erqRLQQ128GmfkegRlvAtSHNEuow6qcNT16hFFGpuXjM+qaUXMSk5yG5uF9S3Gfml1gq/pqsWaBoLoKRWIhfE4JhZ2kCB0sTuFor+iPWRyn7JnsLY52Zvb4Sd4XPGsZkx/DjQfUGYWqLqbBiZXvI62GDECzDKO+T7pbunzIV3zfDeh5l2Jdo4gVbn44wrfOGom9iJSqI9gWIR48exfDhw5GSUlTnqgT2j5/tfSBEX6TlFOJGTAZux2UW31j2LEkFoz+hwIhn2lLcRHw2kCWCZJR9pRGMeE0ftvGazTAq7/PYbKMcyBfLEC/OR3ym4uwHt5VrK57HrulsZQpPe3N4OVjAy94CXg7mRfcWcLc103gAyTeb3/sdq4JXIVeSC1OhKSY1m4QPGnwAIQUkFcP+4M9Jgk1uFIzu/wtkxQLpj4tuUYqahPnp5b49z9gOVwtrIFRaE3dQCy3bdsH7PdrDuLwCw0SnUD+t39jv0CepebgVW7JvyuIBYUWZiASKfslYCAtTEZ8pZP1HyX6J7bdjM47KPon1Rco+iskqkPAbOzv6YeqLP08ogKutqaIvUvZLDhbwLHrM+i1NB5Bs1nD11dX49e6v/Njd0p3PGrat1laj7dIp0kKYFabAKOYakBNXuk9i9+wmKf/nNNnEA5fzPHFLVgvRZvUw+M2+6NiMylrpRIA4adIkvPvuu5gzZw5cXYtSyxKiJ56k5uLKo1QER6YiKDIVD5Jyyu1cazhYoIajJao7WPCRUicrU15AnM3isc7O1sK4qNM1qnQduuxCCS85kJ4rRkp2Hs5cCETtBo2QkSdFYlYBEjLz+X1i0T0LXPlxVgGuRaWXGbBWszNDLScr1HayRB1nS9R2tkJtZ0ueFUzdHTSbNWQjs5fjLvPj5i7N+axhDRsDz34plSgCOpamO095X3TLSQKy4xWjrtkJQFYCf85YLkVn9t4SJZ6eY+kCONcHnOpB7uSNkFxXLA2SIijNnP9RxwrfL3/HD/XdrKvuv5WoHfXT+oX1BWGxmQiMTMXVx6xvSuOzgWWxNhOhlpOiX2LBF+uTlP2Si7UpHC1N+TmvM1DIVtGwmcj03EKkZOXhxNlLqNeoKbILZUjJZv1SARKy8pGYyfqifL6qhi1hZUEtuwEpZa6UYW1mba/D+yRFv1THyYr3peoWGBeIORfnFM8avlvvXUzxnwJLY0vA0LcksH6ouH9S9lGpiv6I9UtZT/sn47xU9GTvC3vRRY0UGa+d6vM9g2IHbxyKtcbyq0Bcpik/Y1ALTyzu61sl/9sTFQWICQkJmDJlitZ0Ops2bcKKFSsQHx+PJk2aYMOGDWjVqlW55//+++/45ptvEBkZCW9vbyxbtgx9+vQpNTI3d+5c/Pjjj0hPT0e7du3w/fff83OVUlNTeQd88OBBXmfqnXfewbp162Bl9XT5AVvaM2HCBAQFBcHZ2ZmfP2PGDDV+E6Qy2EDo+YgUnH+QijN3E8sMCFmH5etugwbu1mjgbsP/mK5ma66oCadG7PpsDyK7eTmweq4WyLgrR5+WXs9lJVT+EZGaW4i49Hw8Scvlwa7innXKubxsQclO+uy9pFLvtzQRohYLGFnw6GyJui5WqOdqzf/7jV9z1pH9u/rj/h981pDtNTQTmuGz5p9hWINhELBN5rqETeuK84DCHECcAxTmlvO46Li8xwWZio6Wdbzs8as2A0YoEFnD1LEGjFhna19TsfSG32oAdl6AqSLwu/o4DauP38WFCMUfZuwPxq96+eDtZh5q/zkmVU/b+mny6tJyC3HpUSL+u5uE/+4lISWnsNTrxkIj+Lg97ZfYjf2+roqlnCy4ZEtJ2c3LzhSx9nL0aeJeZr/EsFlItgUjNl3RF/E+qKiPYv1SbEYen528l5DNb4Ci/qqSo6WJIlgsChq9Xazh7WoFDzvz1/5vfXbWsJplNT5oGeAeAJ0jkwLioj6I90MlHj97/Nzj7KI+KldRxkgZCL5gtq/cZkAII2tXGLE+qFSfVF0RGLI9hCITPtBw8EYs1p64z5dEM2zQcm4/XzSvrtz8QHQmQBw0aBDOnDmDOnU0n7CA1XlineDmzZsREBCAtWvXomfPnrh79y5cXFyeO//ixYsYOnQoli5dijfffBN79+7FgAEDcO3aNTRq1Iifw1KDr1+/Hj/99BNq1arFg0l2zfDwcJiZmfFzhg0bhri4OBw/fhxisRijRo3C2LFj+fWYzMxM9OjRA926deNtYxnlPvroI9jZ2fHziGax5Zzn7yfjr5BoHLklRMGVq6Vm2Jp62cG/pj1a1nBA8xr2vBPUBewPfTaLyW6NPW3LDCDZzCLbn/IoOQcP2S0pmy+ZZXspWdKCWzGZ/PbsHyIsaKznZo16LGh0s0Z9V2u+PIh9Xy+TKknFJ8c/Kd5r2MylGc9QqvZZQ6n4xZ3iM8eCgiz4Rd2B8K+/AUl+6Q6z1GM2iKCiDabPYolhzO2KbvaAmR1g5VJ0cwWs3IofS0xs8e+/x/kAV3l/mF2LSsOa4/dw7n4yP2Yz2h+1r4WJXerCypSSAOkrbeqnScWx1SL/3IjBT+ECTL58ptQ+dvbvtVUtB7SoYY+WNR3g52mrMwnM2IobFsyxG2t7WQEkCx7Zvn7WHz1MVvRL7Bafmc+DY3ZjM6clse+EBYqsP/J2VfRL9dysKrxclWUo/ebCN1U7a8gGGCUFz/RL5Q8oCvKy0Cg6DMJD/wJS1i8V9Uf8/c8MSLJ+Sx3YIK6yP2L3yltxv+Ra/Fhs5ojDpy+iT983y+2XWBK/gyExWH/yPv87RDlo+WUvHwykQUutUKm/DjZu3IjBgwfj3LlzaNy48XM/AJ999hmqCqvlNGbMGB6gMSwY++eff7B9+3Z89dVXz53PZvl69eqF6dOn8+OFCxfyII/9N7H3slkOFmTOnj0b/fv35+fs2rWLj8IeOHAAQ4YMwe3bt/n+DjYz6O/vz89hs5bsj7SVK1eiWrVq2LNnDwoLC3k7TExM0LBhQ4SGhvL2UoCoObdiMrA3MAqHb8bxJZsKRnzZTaf6zuhU3wXt6jrB1lw/lzSwX7putmb8FlDb8bkOmiU34AFjUeAYkagYzc0ukOBuQha/PbskSDnLyDtm3jmz2VXFUlX27+mR1SMcjDuIAnkB32v4WTPFrGHxXsPnZuNeMutWqmMs63GJwE9aesT9ZViLaqHM1U/lE5kDJhaAiSXA/qhg9+y4Io9NrBXZ15SdrpktIHyFX8viEgWBnxkIOHs/CdvOPyoODFkgP6i5Jw8MWWBP9Js29dPkxdgsyqk7ifgtOBr/3UuEWMqiQsWqCvZ7tZOPMzrVc+GBIQu09BH776rpZMlvneqXfi2nQMIHNB8UDWY+KOqb2D3rm0Ki0vmtJDsL46f9UtHAJlv5Y2ehGOyVGEnwR+ofOPvv2eK9hvPbzkebam1Kz8a9yqxbWY+fW1lSdF+UJKyi/RIf5im94OcljIr6GdYvWbz6Y9YXKQcp2Y31VQJBxfulclYFsey5+0NieN/E/rdU/m815o3aGNm2Jg1aahEjuTKn8SvYtm0bxo0bx2fTHB0dS43SsMcPHz5EVWABmIWFBf744w8+C6g0cuRIvjT0r7/+eu491atX5zOOX3zxRfFzbDkpC/6uX7/O285GXENCQtC0adPiczp27MiPWYDJgr6pU6ciLe3pSJZEIuHfB1u++vbbb2PEiBF8FpFdt2Ta8S5duvDlqfb2z0+dFxQU8JsSe7+Xlxf/77C21v79QSxLXkREBOrWrcuX3WqLAqkcgfFSnI6S4FHm00x+NiaAv6sQHpI4dGjoBZFQ+0diNfEds18RqflyxGaJkZSVh7TsXKTn5CErNx+msnxYGBXAHAWwNMpX3CMf1oICmJpn46hDFO6aK5an+IqFmJ0tQi1xIYTSfAikBfxeKCvgqRDUSQYBpEIzyIRm/L74JmD3piWOTZGYngM752qQicyfOe/pubLi50wAI6HW/DzkSeS4ECPBySgJ4nMV3ykbiG1XTYg3axvDxUKz/y619XdEebKysvhAYUZGBmxsdKvmmSr7aeqb1CMtX4az0VL8FyNBWv7T34EeVkaoa5yOXr7OcLPS/j+YNfX9sv32CTkyxLMMrVl5SM/O431TXj7rl572R+ZGBbAAu+XDQVSIDPMkHHSKRYqxIkjrl2+MSTlGsJEUQFDUJyn6plcbYKwMqZFxiX7JtMz+hvVLyRl5sHFyh0zEnmd9k2nxebIy3isTsL7JSGt+HpLzZDgVJcHZaAlyipLoWoqAXrWM0bW6COYizc0YauvvB033S5X6zTNr1izMnz+fz9Bp8stMTk7mmdie3WPBju/cuVPme9g+xbLOZ88rX1c+96Jznl2+KhKJ4ODgUOoctjz12WsoXysrQGTLXtn3+qxLly4VL23VBcrvQNPy5SKES1xwW+KCwqIfdQFkqClMg7cwGW6CLAgUkyu4eCEKuqTc71guhzEkMIYYJvxWWPRYUuKx4lbWY8V9IT//6WP2vAQiViOvpHImWdmfOfutLLHC0R7ZAgFMZTJMSsvAB5lZfCT0Rdj/TuzTWEsVrWX3ypaLiltT+vXyHpsUX0/KPllmxCJFoOxJt9JKbUMtLLq9+h7BqsCG+EJicvBA6ohHUntIir5l9r+ZtzAFvqIEWKcW4k4qUPZvRcP9HVGRMhG6SpX9NPVNqpUmM8MNiTseSR34PmLGFGJ4i1JQV5gMe7aMUArcu3Yf9wC9+H6N5LJn+pkX90WK3/oV67cEzw4wKnKcPCfXyAjr7e2wx1YxqOEmkWB+UiravuTfObu6sh8qr9959l5xMynqt5SPn3+fnM0Us661IhOKz/2Zwtqtvb+jouMS8Vhqx/umWJlN8c+6tVE+GoiS4C1Mgkm0DEHR0Ara8vtBW/olUWVn7t577z2diLR1yddff81nN58dpW3Tpg2N0r7iqOzRSAnOREtQWPRL19ncCB09RXjDQwQbU5ZIyEujbTaSSSCU5ZeYScuDsHhGTfF88XHRTSDLh0CSj/zMFNiYCyGSPfM6O19eBbNxRsLikUpZydk3oRnihSKsNMtAsEgxa+hZYIF2cbURLXXBNIkFcmCKXJghV150z47lZjBlsxyWpqhmLYKHlQCeVgK4WxnBVFj+qKKw6Gamhz/DLyOTy/E4U4bgeAnOPylApvTpr3I3CyN0qyFC22rmMBex0cXSA1WapCvfb8mRWl2lyn6a+ibVeJghxaGHEoQkPo0GvO0E6Owlgr+rOYyFbN94bc21Vy6HQC5WzKIV90FFfZOsdF8jkuZBUNQHCSR5yMtI5tkmS/ZLxddhz8mrZjbuuZUiAkUfFWoMLDdLQ5xAMULYOMMe/un1cUxii18krD8q3TflwZTfrM3N+Z5+D2shPK2M4GEtgIu50Qv33ouKbhZ69vNbEWx5dHiKBKfup+NuniUKSgS+vo4CdK8ugp+zOQRGbB/qM2uJNUSXvt+q7JcqFSCyJZwsOczMmTOhSU5OThAKhTxbW0ns2M3Nrcz3sOdfdL7ynj3n7u5e6hzlklN2Dis8XBJbYsqWjpa8TlmfU/IznmVqaspvz2JZVNkSIW3HkvVkZ2ejQ4cO5W5MVne9wg2nIrD78mOeqZNp5GGDiZ3roruvW5m/0F+5zSzd87Opnlm2L77fIBsoKHmf9fSY7TkoyHr6mrTs9OQVVpG3K/cUPLfPwKpoL1wFHhfvq3v6WCAy4btjjJ9Zhnog4gBWBK1AljgPJgITTGw2EdUTq+N83Hl06NwBrdt14PtG2D7Ge2w/Y7ziPjmDfadATD5wI+VpAWe2OoaVEeH7Gl2tUcfFUlGaw9mSZ3XVx5/hF2H7cK48SsGJ24k4eTuBp5FXEPGU9W/6uWNgc0/417DXeC0xXfx+y1JWDUFdocp+mvqm18N+13175DZO31VsImP/PHs3csOnneqikYft67eXLSNgfYyyX1L2UazPeVlfVLK/Yq/Jnv4OfmUVmdhge9NK7cN+vo8p//Gz+7hL9G/GFhAKRc+tUsmT5GH9tfXYc3sPr+noauGKgZYDkRSZhGYdOqBz585IzSnkfVHJfik+PgtZ+RKwxJqRuTIEJ8pK7Zes66zY08gS5CizfrMSHepIGqTpn9+XYSW2zt5PxonwBL73PZePzCuS/LD6lgObefJs2Wx/qTbS9u9XU/1SpQJEtqyTZfr8999/4efn99wXyhKxVAWW/KVFixY4efJk8R5ENhLAjidOnFjme9iIJ3u95B5ElqSGPc+wZaEsgGPnKANCNlp65coVjB8/vvgabI/j1atX+eczp06d4p/NMqkqz2FLfNgPnvL7YZ9Tv379MpeXkspjRXt3XYrkwSH7hc6wTG8TOtdFB2+nF/+xLCmAeWGyoqBrfnLpmj6s9tyzNekqke75hQTGRR2gVVFHV/Lx85vH2T6Dm3cfoVHzVhCZ2Tw959lAkCVOqaKRsIScBMy/NB/nYs7xYz8nP56htLZdbb7vVsncRMgzqz6bXTUjT4z7RQlw7sUr7lknnZYrRmRKLr8dCy892MLqebHSG6xjZmU5FHWzLHnyFVM9KfTOshmGRqfjysMUXH6YghvRGXzPTcmSJO3rOsJdEodpQ7rCykJ3lvoR9dOWftqQsT+cVx+/h9+Cn/BspGyQckBTD4zvVIcn93oRNvOG1AdAfurT2qfK/on1TaUGKtNeL7Ari8isjCCtvH7JDOH3I9GgaUuIzKxLDDaWEdSJTKtsb1xIYgjPUPo48zE/Hug9ENP8pyH4QjCSSmR8YVnKW9d25LeSg55sEK5kv6QMIlk5jvC4TH4rif1nedqbF9cY5n1UUf/kbmteoYzf2o59L7EZ+bxsEuuX2E2ZbEbJzcYUdc3zMLFfAALqOGvtgCVRQ4DISjY0a9aMP75161ap16r6B4Ete2EjpSybKKt9yDKQ5uTkFGc1ZcliPDw8+B4K5vPPP+cJZ1atWoW+ffti3759CA4OxpYtW4rbz4LHRYsW8bqHyjIXLDOpMght0KABz4TKsqeyzKcsCGQBKctwys5j3n//fb5nY/To0fjyyy/598QS3KxZs6ZKvx99d/RWPBYeCkdMuiJw83Gzxqy+DfCGt7PiBDa7lx6luKU9fvqY3TKjYZyXhh4vLehaxghoyVTPPFCzUtSb4/dWJY4tSzxn/fQ15fOiVyufIROL8TjlMBo26gNoeKSLdRR/P/gbywKXIUucBWOBMZ81HOE7AiJBxX+1sIyx/jUd+K3ktVlhZeWI7v3ErKLU5zm8ODR7jd2eTXnOfv2wjLSsODTrqBU3C55anT2uZmeudWnhWbrv6DSWPTYHd+KzeKbdmzEZPKPss9h/R2cfZz4j3rq2AwRyGQ4fjoWplv03Ec3Tpn7a0BRIpNjy30N8d+YB8sSKNXZsxnBGLx8eLPAZPxbw8b6I9Uul+yZRZhzeZJkvb7ziB7OkWcX9kl2JvknZ7zzbP5XzGuuflFmmK9gvPcw4DJ+mmu+XmHxJPjaEbMDP4T/zWUMXCxfMazMPb3i+UeFrsH8jyozfHes5l8oQzeo3Kmca7ydm8wyrj5JykFUgKbfGMCsVxfof3ifZWcCjRP/E7l1tzLQugGSD77wcVlIOwuNYv5SJsJiM5+pxsl8nDavZoKuPK7r7uqKeszmOHDnCs+7S7xoDCxBLzgpoGttjkZSUhDlz5vANpmzWj5WgUCaEiYqKKrWmuG3btrxWIStjwZbesCCQZRpV1kBkWDF7FmSychRsprB9+/b8miU347MyFiwo7Nq1K7/+O++8w2snKtna2uLYsWOYMGECn2Vky2FZG6nEhWrEZ+Rjzl+3imaW5GhsnYvpzWVob/cYgjt/AufvAUl3gdyiLDQv2VNnZO0GI1bHx/ppjTlYOitKEJSs+fOq6Z71VGJuIp81PButSBHeyLERFrVfhDp2qqm5xjoVVhOJ3VjZkZKy8sWITM4trpPFO+eishysjiMb9WU3NsJZXkDKgkjl9ZWP2T4TC2MjPMgED9QcrM1hYyaCpYmoUjWZWOr6nAIpMvPFfGY7MSsfCZn5iM8oQAJ7nJHP/9Bg/y3KJdHPYkuW2Gw4G9kOqOXwXHkKsbjs9xGiTf20IQmOTMVXf97ky+lZUrS+1XIxpakMdXAbOPuDol9Kvq8ofVAO5W8bubElLzb+tMZcUf9k6QSYP9s32Slm9Qz8D/LQxFA+axiZGcmPB9QdgOktp8PGRDXZHllfUMPRkt96NHR7blCT9UPKPukB75+y+WAf25vHCsErisE/v0SQdTGOVqa8fqOLjeJe2T/ZmAlxN80I7lHpcLA241ssrM2MeZmpygRgbAAjO1/CS4Swcl+sX+J9k7J/yszn9SjZwHtZdQ5EAiP4uFujdS3FrCura8n2nyqxSRNiQAEiC7RYiYiKiomJ4TN3VYEFauUtKWWFgp/FakOxW3nYP7gFCxbwW3lYxlIWaL4IW9bDalAR1ZFJZTjw3yWc/e8E/KQPMMwkEv6mUbAUpwFXynmThRNgV/3pzb4GYFcDsPVUFHQ9xQq69tWJteeaxjrBgw8P4tvAb5FVqJg1/LTpp/iw4YevNGv4OljHWNZSVV6OI6cQ0Wl5RbfcZ+7z+Gg+W9LKl7UmZpfzCSKsD7tUquO2MBHxfSesyLyxyEhxLxTwzlMql/NRZXbPZgNZPUkWECpnDiqCXZstSarjYoVG1WzR2MOW759V1uwiRNf7aX2XmZuHn/46ise3LuEDo0doZvYYDYVREKXmAafKeocRYONR1B+V6J/sqkNs4Yp/L4SiZ7+B1C+9wqzhxpCN2BW+SzFraO6CuW3nooNnhyr5/JKDms/WGGaDhQlZBYhOfdoXKfslFoTFpufx7QNsdQy7hceV9QlC/HAn8LlZSbYixlSk6I+UfRSbiWR9k0Qm40ubWb/EbmxGkPVN5Q1IloUNktZm+y1drdGI9bsetnyllratxCGqV+G/6Fq2bMmXWH788cf8cVlYTY7ffvuNL6VkM2VUiJe8NpkMSAwHHl9EXsRZFDw4j4GyNAw0KvHTywarWC06xzqAUz3AuT7gVB9wrgc41lUspXlhQVfDHnGtqKTcJCy4tABnohWDLr6OvljcbjHq2teFNmAdNBuBZbcmXnbPvc4CSDZampSt6ITZjJ6yQ07MKkBKdiEy8woRn5LB93qymT826ss6WDbSWqHEQGVgnTdLIsNmKPmSJRszuNgo7qvZmaGOsxVfeqRty4uI7qF+ugqxhGUxwbxvSr99BqbxwZjEfkmUjOfYGBGb1Svul0r0T/Y1y99iIBZDKtSWojTa73rSdcw+P7t41vCtOm9hRssZsDV9PgGQJoiEAr49gN0UWSpKY8FbSraiH1L2SayfYntY2XNpOQWITkzlezlZX5SZJ+b9EuufxFIJKpvTku1jZwOurjamfIkr65/4vY0ZX/bKBiwdLU1omaiBqnCAGB4ejsWLF6N79+58qSVbNsn227HHrGA8ez0sLAzNmzfnG+P79Omj3pYT/cX2Ydw/DkScBB5fUGzGZ0lOim5iuRCZtvVgX6clBNWaAO7NAFdfwJi9SlSNBVaHHh7is4aZhZl8pvDTJp9iVKNRVTZrqAqsk7O3NOE3lhW1LGxpzOHDh9GnTyde27RAIuOBIlsqKpbK+OwgG30VF90LjIz4jQV3QgGbbTTiI7mKJUAiWJoqZh4JqQrUT6t5sDL+OnD/BPDglCI4lCr2YimHo7JhAalrY9jWbgm4s76piWKQ8hX285GKK5AWYFPIJvwU/hNkchmczZ0xt81cdPTqCF3C+g82aMhuL+6X3uAzyqxPZtspWKDIZgUVfZIchVIpCiVyPnMoZH0T75ee9lHmxkJYmYlgZaq40aAkeZEK/3XHUlmzrGes8/nnn39w/vx5PH78GHl5eXx/3bBhw9CzZ89Se/kIqRC2FiI6GLj9lyIwTCo9clogMMcVcV1ckTVAqlMLjBs6GDXctD+1uj5Izkvmew3PPHk6a7io3SJ423tD37GAki2j4UtptL/UGyHUT6tjlvDBSeDOP4q+Kad0eatUgT0uiuvjsqwBHBp0wrjBfWBlSsvCq8KNpBuYfWE2HmU84sf9avfDl62+1JpZQ3X3TcogjxB1eeWfLnNzcwwaNIjfCHntoDD8ABB2gGcULZUl1LMV0j07Ye5NJ/yT7AIJRBjXsQ7md69HMzJVgI1QHn50GEsDlyKjIIPPFI7zG4ePGn/E9x0SQrQX9dMqCArD9gN3jyrqAyqxUg11OuOudStMCbJFWK4TX6K3dHBjvOmnyGBO1D9r+F3od9gZtpPPGjqZO/FZw05enTTdNEL0Cg0/kKqVGQdc/wUI2a2o8aTEUmvX6wX49AFqd8alODk+3XOV18Jje7fWvtcU7b1LZ7Mk6qtruOjyouK9hg0cGvC6hvUd6mu6aYQQoh5x1xX90o3firc1cCyRTIO3gPq9IPdqjR8vxWDpkTt8jLN5dTusG9LsuezCpGoylPat3Rdft/raIGYNCalqFCCSqtm7EXECCN6mWKYjlz4djWUBoe8AoG7X4j2EP19+jPl/h/GsXn6ettgy3J9vnibqnzXcH7EfK4NW8rqGbNZwrN9YfNz4Y5o1JITon8Ic4Po+4OpOIP5G6aCQ9UsNBwAe/rysEdvr9fWfN7E/JIafMrSVF+a/1YhWtFSBXHEur2u45/YenqGUzRp+0/obdKneRdNNI0RvUYBI1KcwF7ixD7j8PZB87+nzXq2B5sMVHTArzFsiFfS8g2HYfTmKH/dvWg3L3vGjdMpVICY7BvMuzsPluMvFdQ0XtFtgEHsNCSEGJjMWCPwRCN7+dLaQFZn36Qs0Gw7U7lQqsQzLKvnxrmBcf5LOE3vM7eeL4a1rUHbHKnAl7grmXpzL+yhlXcNp/tNo1pAQNaMAkahefgZw/kcg8Acgr6hYuamNouP1HwU4PR90sNHZL/aF4mhYPK868WUvH3zSoTZ1wGrG9nDsu7MPa6+tRZ4kD6ZCU0xsOhEf+H6gUxlKCSHkpdi2hotrgZu/AzKJ4jlWbqLVJ0CTIYCFw3NveZKai+HbriAyJRd2Fsb47v3maFuXtjuoG6uzu/rqavxx7w9+7Gbphnlt5qGdRztNN40Qg0B/ARLVKchCvfgDEG2apAgSGVaQvvV4oOkwwMymzLexuj5jdwXj4oMUXuR1/dBm6NXIrWrbboAiMyL5yOy1xGv8uLlLc8xvOx81bWtqummEEKI6aY/Q7PEWiEIvAvKiIuHV2wJtJgD1e5dbhuJeQhYPDhMyC3hduJ9HB6CWk2XVtt0AnY0+y7NnJ+Yqssa+V/89fNH8C1ixXAWEEN0JEMeNG4cFCxbAxcVFFZcjukZSwJeRii6sRQPljKGzD9DxS8C3/wtrQKXmFOLDHYG4EZ3Bi7b+ONIfbevQ6Kw6SWQS/Bz+MzaFbuIZ4cxF5pjcYjLvhAUsgywhRO+sW7cOn3/+OQxKVjxwejFEIXtQXbn3nSVD6zgD8Gjxwrdei0rDqB1ByMgTo56rFQ8OWRFxoj7p+elYHrQcBx8e5Mde1l580LKlW0tNN40Qg6OSALF379684O6bb76J6dOnw9KSRtgMAkvjdvcw8O8sPkLLFoNmmbrDvPd8iPwGvbQ4cGJWPoZuuYwHSTlwsDTBzlEt4eepLDlM1OF+2n3MuTAHt1Ju8ePW7q0xr+08eFh5aLpphBA1unnzJj755BN89913EAqFCA8Px8KFC/HLL79APwctvwPOrgQKs3nflGDjB8eBKyGqGfDSt196kIKPdgYhTyxFs+p22PFhS9hZUH1DdTr++DjPnp2anwojGGG473BMbDaRD2ASQnQ0QOzfvz8PDrds2YK2bdti/PjxGDt2LAQCmo3QW4l3gKNfAQ9PK46t3CDpPBunnlihT8M3XxocpmQXYNiPV3hwWM3WDLtGB6CuCy0fURexVIytt7Ziy40tfAbR2tga01pOw9t136Z9noQYgK1bt2LNmjXo1asXbG1tERkZia+++gr6PGjJebSApNtCXL6RjD4ezV96ieDIVIz+SREcvuHthB+Gt4CFCe3GUZfkvGQsubKEB4hMbdvaPEFaE+cmmm4aIQZNZb/12Ihk3759eYHeadOmYe3atVixYgX69eunqo8g2kBSCJxbBZxbqdjkzzK/tZ0EtJ8CucAUiD780kuk5xZi+LZA3E/MhpuNGfaNbYPqjlRHSl3CUsL4rOG9NEUm2U6enTC79Wy4WrpqummEkCoSFBSEc+fOIS0tDQ8fPsSpU6dQo0YN6I2sBODwVOD2weJBS3SfDzR+F3KpFLjx8r6JZSn9cEcQcgsVweGPI/wpi7YayyodengIy4KWIaMgA0IjIT5q9BE+afIJT5ZGCNGDAJGNSN6+fRteXl5o1aoVNmzYgHr16vGlLCdPnuTBItEDsSHAXxOBBMXyRNTrDfRaCjjUUhyLxS+9RGa+GCO3ByI8LhNOVqbYMyaAgkM11o5i+wx3397Ns5XamdrxosK9a/WmWUNCDMzkyZMxZ84c9OjRgweLAwYMwMaNG9GuXTvdnzVkxe2PfqnIms2yL7NByzemPS2jxALElwiLzcCI7YE8aVrr2g68/i4Fh+oRnRXNl5NeiL3Aj+vb18fCdgvRwLGBpptGCFFlgPjtt9+icePGfBaxpG3btsHHx0cVH0E0SSoGziwFzq9VFLm3cAT6rAAaDgSvSVFBuYUSvun/enQG7C2MsefjANRxpmWl6nAh5gIWXl5YXDuqV81e+KrVV3A0d9R00wghGnD+/Pnixy1btsShQ4fw7rvv4sIFxR/pOjtrePAz4N5RxbGbHzDgO8Ct8StdJiKRZSsN5AlpWtSwx7aRLWFuQsGhqrHtDbvDd/OBy3xpPkwEJnzGcFSjUTAWGGu6eYSQ1w0Qu3XrhqlTp/LkNEzTpk35vUwme27f4eHDL1/WQbRYehTw+yggJlhxzIJCFhxavlqmUalMjs9+CcXVx2mwMRPxjHD13azV02YDlpKXwrPAHX6k+HfnbunOl5N28Oyg6aYRQqrQs/20krKf9vDw4Ct8dNaD08CfY4CcJMVWB5Y1u93ngPDVAg2WLG3k9iCeUdvP0xY7RrWEpSntOVS18JRwzLs4D7dTb/Njf1d/zG0zl8oqEaKlKvVbMDg4GDVrKv5RP378uHgfA9sEz/Y4/Pzzz8Xn1q5dW1VtJVXtzj/AgfGKmoZmtkC/9UDDAZW61KJ/wnHidgJMRAJs/7AlGnnYqry5hr6f4+8Hf2NF8Aq+n4OVq3jf531MajYJFsa0hJcQQ1ORftrMTAfLNsikwJlvgbMr2G8+wKUhMGgb4PLqyxPZqpbRO4MRk57H6xv+NKoVbMxoJkvVWx2+C/0OP9/+mW91sDaxxtQWU/G299tUVokQfQsQCwsLYW2tmP1hS0tDQ0N5IMgymM6bN0/VbSSaWFJ6fC5weZPimNWLGrQDsK9cQoMdFx5hx4VI/nj1u03gX9NBla01eE8yn2D+5fm4EneFH9ezr8drRzVyaqTpphFCNEQv+2lW1/CP0cDjouWyzUcCvZcBxq9eCkG5quVmTAYvs8RKWdhbUikLVboYcxELLi8o3urQs2ZPvtXByZxqHROilwGit7c3AgMDeeeTk5ODjIwM/jw7Tk1NVXUbSVVim/x/GwE8Oqs4bjMR6DoXEFWu4zwenoAFh8L54y97+eBNv2qqbK1BE8vE2BW2C99f/54XvGeZ38Y1GYeRDUfSfg5CDJze9dNxN4BfhgCZMYCJFdBvHdB4UKUvt/DQ01UtP45ogZpOVL9ZVVgtwxVBK3iWUsbN0g2zA2ajo1dHTTeNEKLOAHHSpEkYM2YMX77i5+fHk9GwbGhs2YqrK6XO11kpD4C97wIpEYCxJTBwC9DgzUpf7lZMBj77JYQnmRvaqjrGdaTlxqosXbEocBHupt3lxwFuAZjTZg6q21TXdNMIIVpAr/pptt3hf2MAcQ7gVA8Y8gvgVLfSl/vpYiR2XlSsalnzblO0qEGrWlS61SFoBdIL0nnB+/cbKLY6WLK/KQgh+h0gfvzxx3BwcMC9e/d4BzRkyBC+dCUuLg4TJ05UfSuJ+kWeB379QDGDaOMJvL/vlTPBlcQ2/H/y81VebLhDPWcs7N+QSiuoQI44B4fzDuPysct8P4etqS2m+U9D/zr96fslhOhXP81GFy9uAI7PUew3rN0ZGLwTMLer9CUvP0wptaqlr5+7ChtsuFKkKfj09Ke4Eq/Y6uBt7435beajsXPl/44ghGhOpVN1DRw4sPjxkSNHsH//fr7ngXVCRMfc/APYPw6QiRX7DdnorHXlR5glUhkm/RLCN/7XdLTAhqHNIBLSZvTXHZk9/vg4lgUuQ2JBIn+uT60+mNFyBpWuIIToXz8tkykK3wdvVxz7j1bsN3zFLKUlxWXkY+Lea3z/Yf+m1WhViwqw7Q0/3vwR27K2QZIl4aUrxjcdT1sdCNFxKsnlLBKJMHjwYFVcilS1qz8BBz9XjM42fBsY8H2lNvyXtPpEBC5EpMDCRIgfhvvD1pw6iddNQrM4cDGvbcjYC+yxoMMCdKrRSdNNI4ToCJ3qp6US4K9PgRu/AjACen0LBHzySnV3nyWRAZP2XUdydiEauNvg24F+tOriNV2MvYglV5bgcebj4q0O37T5BjVsKpfQjhCiPajYjyG79B3w79eKx/4fAX1WAc/UsXxVN1ONsPWuYm/H8kF+VOvwNRRKC7H91nZsvbmVj9Ky0dgPfT9EtSfV0K5aO003jxBCVE9SAPzxEXDnECAQKfbCN3rntS97IFKA6wkZfMDyhw9awNxEqJLmGqLE3ES+z/Bo5FF+zLKSdjXqihmdZ8DEhDLBEqIPKEA0RGxfx7mVwKlFiuO2k4DuC19rdJaJTc/D3ghFgDm6fS3KWPoaLsddxuLLixGZqQi2A9wDMCtgFjwtPHE4+rCmm0cIIapXmKvYC//gJCA0AQb/BPj0ee3L/huWgHMJir5p7XtNUd2RasNWhlQmxb67+7AhZAPfD8/qGA71GYqxDcfi3IlzNCNLiB6hANEQnVkK/LdM8bjTTKDjjNcODtm+wym/30Su1Ah+HjZ88z95dcl5yXxk9vCjw8Ujs9P9p6N3rd688xWLxZpuIiGEqJ44T5FFO/IcYGwBDNkL1On82peNTsvFzANh/PHodjXQ2cdFBY01PLeSb2HBpQW4nXqbHzd2aozZrWfD19GX+iVC9BAFiIbm/JqnwSGbNWz3mUouu/bEfVyNSoeZUI417/rx2lLk1UZmf7v3GzZc24AscRZPDz7EZwhPD25tQst0CSF6vqyUzRyy4JD9vvvgD6B669e+rFgq46WWMvMlqGElx5Ru3ippriHJLMzE+mvr8dvd3yCHnPdHXzT/Au94vwOhgJbpEqKvKEA0JIE/AifmKR53nauy4DAoMhWbzkTwx0Nqy1DdgZbvvIobSTew+MpihKcoUq+zEdk5reegoVNDTTeNEELUn5Dmf6OBiBOAyBwY9ptKgkNm0+kIXItKh7WZCCO982ng8hWwMkoHHxzE6qureeF75s3ab2Kq/1S+soUQot8oQDQUN34HDk9TPO4wHXhjikoum10gwZTfQvm2xoHNqqGZWZRKrmsoy0nXXVuHAxEH+LG1sTU+a/4ZBtcbTCOzhBD9xzoOlkX79kHFnsOhe4EabVVy6RvR6dhwSjFwOe/NBhDFhKjkuoaADVay7KTXk67z41q2tTA7YDZaubfSdNMIIVWEAkRD8PA/4MB4xeOAcUDnWSq79OJ/wvEkNQ8eduaY3ccH505RgPgyEpkE++7sw6bQTcgWZ/PnWKH7L1p8QSOzhBDD2g8fuhswEgCDdwJ1uqjksvliKSb/GsrrHfb1c0c/PzcciVHJpfVaen461oesxx/3/uDLSc1F5hjXZByGNxgO49eoP0kI0T0UIOq7hDDF3g6ZWFHnsOfS105Io3TqTgJ+CXzCH68c3IQv4yEvFhQfxEdmI9IjipeTft3qazR1aarpphFCSNXW4FXuh++7GvDpq7JLLzt6Bw+ScuBibYpF/RtRds0K7IFnQSELDtmeQ6ZPrT6Y0mIKXC1dNd08QogG0F/0+iwrHtgzGCjIBKq3BQZsfu06h0qZ+WJ8/efN4pIWbeo4UiazF4jPiceq4FXFdaPsTO34ctKBdQfSclJCiGGJOAkcmvx0y4P/KJVdOjgyFTsvKsoDLRvkB3tLE+qbXiAkMYQPWt5JvcOP69nX44OW/m7+mm4aIUSDKEDUV+J8xcxhZgzgVA8YsgcwNlPZ5b89cgcJmQWo6WiB6T3rq+y6+ljsflf4Lmy5sQV5kjxeN4rtMWTZSW1NbTXdPEIIqVopD4A/RgFyKeA3RKVbHtjS0i//d4NvbRzcwhOd61NJi/Ik5SZhzdU1OPjwID9m2UknNp2Id+u/C5GA/jQkxNDRbwF9xHrHf6YA0UGAmR0wdB9g4aCyy19+mIK9VxR7DZcO9IOZMc2APUsul+NczDksC1yGqCzFd9XMpRlmBsyEjwPViCSEGKD8DOCXIYp7z1bAW+tVtuVBmbWULS11sjLF7L6+KruuPhFLxdh7Zy++v/49L3bPSioN9B7IV7Q4mKnu7wRCiG7T6ZzPqampGDZsGGxsbGBnZ4fRo0cjO1uR9KM8+fn5mDBhAhwdHWFlZYV33nkHCQkJpc6JiopC3759YWFhARcXF0yfPh0SiaTUOWfOnEHz5s1hamqKunXrYufOnaVenzdvHt/3UPLm41NFgcHl74HQPUUb/3cAjnVUOkKrXFo6tJUXX1pKSrufdh/jTozDhJMTeHDobO6MpW8sxU+9fqLgkBBimGQy4H8fA8n3ABsP4L3dgMhUZZe/HZeJ78884I8X9G8IWwtKqvLsoOXJqJMY8NcArAxeyYNDVux+b9+9mNd2HgWHhBD9mUFkwWFcXByOHz/O9xiMGjUKY8eOxd69e8t9z+TJk/HPP//g999/h62tLSZOnIiBAwfiwoUL/HWpVMqDQzc3N1y8eJFff8SIETA2NsaSJUv4OY8ePeLnjBs3Dnv27MHJkyfx8ccfw93dHT179iz+rIYNG+LEiRPFxyJRFXzdjy8Bx2YrHvdYrLKscCVHaB8lKzb/f9W7gUqvrQ9lK74L/Q7/u/8/XkOKLdNh2d8+afIJLI0tNd08QgjRnHMrgfvHAJGZYsuDteqSn8hkcszcfxMSmRw9fF3Ru5Gbyq6tL2UrWFDIkqQxjmaO+Lz55+hftz/f9kAIIXoTIN6+fRtHjx5FUFAQ/P0Vm6k3bNiAPn36YOXKlahWrdpz78nIyMC2bdt4ANmliyJw2rFjBxo0aIDLly+jdevWOHbsGMLDw3lg5+rqiqZNm2LhwoX48ssv+aygiYkJNm/ejFq1amHVqlX8Guz958+fx5o1a0oFiCwgZIFmlclOerq3o/FgoHVRaQsVYYHhD/895I/nv9UQtuY0QssUSAvwc/jP2HpzKx+VZbrX6I7JzSfDy8ZL080jhBDNengGOK0YYMWba4BqzVR6+d+vPkFIVDosTYRYQFlLiyXmJmL9tfX4+8HfvGyFqdAUI3xHYHTj0TRoSQh5IZ0dOrp06RJfVqoMDplu3bpBIBDgypUrZb7n6tWrfKaRnafEln1Wr16dX0953caNG/PgUIkFfZmZmQgLCys+p+Q1lOcor6F0//59HqjWrl2bz3aypatqI5MCf34MZMUpktK8uValezvY8pS5f4ehUCpDh3rO6EUjtPw7OfroKN7a/xYveM+Cw4aODbGz106s7rSagkNCCMmMUywthRxoNhxo+r5KL5+WU8iTpjGTu9eDm63qkrHpqlxxLt9j+Ob+N/HXg794cMjKVhwccJDvNaTgkBCitzOI8fHxfH9gSWzGzsHBgb9W3nvYDCALLEtiwaDyPey+ZHCofF352ovOYUFkXl4ezM3NERAQwPcl1q9fny9TnT9/Pt544w3cunUL1tbWZbavoKCA35TY9RgW1L4sTbfg3EoIH56B3NgCkoHbAYEpeyNU5d+wBJy9lwRjoRG+6VPvuT2ZynaWvNcFlW3zjeQbWH1tNb9nXC1cMbHJRPSu2Zsv2VHXd6Br37GM7TsquteFNuva90vtVS9daae6Vbpvkkkh/OMjCHKSIHdpCEn3JSrtl5hlR28jLVeMei5WeL+lR5nt0dWfu1dtL9vacPjRYWy8vhGJeYn8uSZOTTCl+RS+37Ay11RnezWF+iX1ovaqV1W1U+sCxK+++grLlhUVz33B8lJt17t37+LHfn5+PGCsUaMGfvvtN55MpyxLly7lgeSzTp8+zRPmlMc+JwLt7y3nj0Pch+FJEFsGqlgKqgoFUmBJKMtUaoTOblKEX/kP4S84n+0J1TUVbXOaLA3H847jhlgRGBrDGB3MOqCdcTsY3TbC0duKOofqpivfsXJQJSIi4qUJpLSJrny/StRe9cjNzdV0E7RCZfsm7/iD8I27CInADGccRyDn+GmVtutxNvDrTUXf1NM5Hcf/PaoXP3eVae8jySMcyTuCWGksP7YT2KGnWU80EjfCk8AnYP+nbrry/VK/VDWovbrdL2ldgDh16lR8+OGHLzyHLdlke/sSExUjZEpsVotlNi1v3x97vrCwEOnp6aVmEVkWU+V72H1gYGCp9ymznJY859nMp+yYZVNls4dlYZ9Xr149/gupPF9//TWmTJlSapTWy8sLnTt35llXy1SQBdG2uTCCDDLft9F4wBI0VvH+i/WnIpBe+BAedmZY+VE7mJsIyx3VYP/AunfvzpP66IKKtpktH90eth177uxBoayQpwbvV7sfJvhNgLOFs9a1V1ucPXuWd8Ys02+HDh2g7XTt+6X2qldKSoqmm6AVKtM3GcWGQPjTfsVBn+Xo2OR9lS/xH7I1CHKko38Td3w2SDFDpg8/d6/SXpYpe33oepx6coofW4osMbrRaAytP5TvOdS29moD6pfUi9qrH/2S1gWIzs7O/PYybdq04YEe21fYokUL/typU6f4kgE2W1cWdh77H59lHWXlLZi7d+/yvYHsesrrLl68mAefyiWs7AeHBX++vr7F5xw+fLjUtdk5ymuUhY1SPXjwAMOHDy/3HFYyg92exdpc7g/t4W+AtEeAjScE/dZCYGICVYrLyMOP5yP545l9fGFj+fL9HS9sr5Yqr81SmRT7I/ZjQ8gGpOan8udaurXEdP/paOCouSyuuvIdsz3ByntdaK+ufb9K1F710IU2VoVX7psKc4C/xwMyCdDgLYhajFDpnnjm4PVYXItKh7mxEDP7+lbofytd+bmrSHszCzPxw/UfeE1DiUzCtzYM8h6ET5t+CkdzzZSf0pXvl/qlqkHtVY+qaqPWBYgVxTKH9urVC2PGjOFZRdkIACtZMWTIkOIMpjExMejatSt27dqFVq1a8bIWbHknGwllexVZ0Ddp0iQe2LEMpkyPHj14IMgCueXLl/NRptmzZ/PaicoOkpW32LhxI2bMmIGPPvqIB6Zs6Sgrn6E0bdo09OvXjy8rjY2Nxdy5cyEUCjF06FDVfQl3DgMhu/nyGgz8ATAvvbdSFVYcvYt8sQwta9qjT2PDSkxzKfYSVgSv4HUNmRo2NTClxRR09upMWfIIIaQ8x+cCKRGAtTvQb53Kg0NWj1eZmGZcxzpwtTGcxDRimRi/3/2dJ6FJL0jnz7Wr1g7T/Kehrn1dTTePEKIndDZAZFgNQhYUsiCQjQSxWcH169cXv86CRjZDWHK9LitFoTyXbbpn2Ue/++674tdZEHfo0CGMHz+eB46WlpYYOXIkFixYUHwOK3HBgkFWU3HdunXw9PTE1q1bS5W4iI6O5sEgmwpmM6Lt27fnpTQqMjtaIXlpwKHJisdtJwE120PVrj9Jx58hMfzx7L6+BhMUPUx/iFVXV+Fs9Fl+bGNig/FNxuO9+u/BWKj9o0uEEKIxkeeBoB8Vjwd8B1iovgD79guPEJOeB3dbM4ztUBuGgC2pPRdzjtczfJTxiD9Xx7YOprWchvYequ//CSGGTacDRDYLyGoalqdmzZr8l2pJZmZm2LRpE7+Vh836PbuE9FmdOnVCSEhIua/v27cPavXvLCA7HnD0BjrPUvnl2fe26B9FKpqBzTzQxEv1s5PaJi0/jRe6//3e75DKpRAZiTDEZwjGNRkHW1NbTTePEEK0W2Eu8NdExePmI4E6inrDqpScXYDvTj/gj2f0ql/unnh9cjf1Lg8ML8dd5sf2pvaY0HQC3qn3DkQCnf4zjhCipeg3iy66fxwI3aNYWtp/E2Cs+uU1p+4kIigyDaYiAab3qg99JpFL8PPtn7H11lZkibP4c2wZKVtOWtO2pqabRwghuuHUoqI98R5Aj4Vq+YiNpyKQXSCBn6ct+jfxgD5LzkvGD0E/8H3wrISFscAYH/h+gDGNx8DapOxyWYQQogoUIOqagizg4BeKx63HA9XLTsjzOqQyOZYfvcsfj2pXC+62ZWdm1XVslvTkk5NYn7UeqSGKBDQ+Dj58L0eAu+q/V0II0VvRwcDlou0abN+hmepXXTxJzcWeK4/54696+UAg0M9tD/mSfJzJP4MlB5cgV6LYItOzZk980fwLeFp7arp5hBADQAGirjnzLZAZDdjXBLp8o5aP+Pt6DO4mZMHGTITxHetAH4Ulh2F50HJcS7zGj53MnPBZ88/wVp23IBTo/5IlQghRGamkaOBSDvgNAby7q+Vj1py4B7FUjje8ndC2rhP0cdDyyKMjWHN1DeLzFbX6Gjk2woxWM9DMpZmmm0cIMSAUIOqS+FvA5e8Vj/usBEzKL1BcWYUSGVYfv8cfj+tUB7YW+pWUJT4nnpes+PvB3/zYTGiG1qLWWNRvEWwtaJ8hIYS8ssAtQMJNwMwO6LlYLR9xNz4L+4uSpk3vqX/bHkITQ7EiaAVuJN/gx7ZGtpjRZgberPsmL2FBCCFViQJEXSGTKbKWyqW8rpS6Rmj3BUXhSWoeXKxNMaptLeiLXHEudoTtwM5bO5EvzefPsUL34xuPx7X/rsHCWPXBNiGE6L3MWOB0UVDYbR5gqZ6ZvRX/3gXLOde3sTv8PPUnaVpMdgyfMfw38l9+bC4yxyjfUXB67ITeNXtTcEgI0QgKEHVF6G4gOhAwsQJ6fauWj2C1pVgCAGZSV2+9yA7HNvb/FfEXnzVMykvizzV3aY4ZLWegoVNDXgqFEEJIJf07EyjMBjxbKjKXqsGN6HScuJ0AtuVwSo960AfZhdn48eaP2B2+G4WyQhjBCAO9B/LspHbGdjgc9eJM6oQQok4UIOoAo4JM4MQ8xUGnrwFb9WRu2xcYhcSsAlSzNcN7/l7QdUHxQXzJzu3U2/zY08oTU/ynoFv1bgZT05EQQtRFFH0JCNsPsFmuvqsBgXpmu9aduM/vBzTzQB1nK+gyiUyCP+//iU2hm5Car0iOFuAWgOktp6O+g2LpLA1cEkI0jQJEHWAeuAHITQGc6gMBn6ht9vC7M4raUhO61IWJSHeXtTzJfMIL3Z+MOsmPrYyt8InfJ3i/wfswEZpounmEEKLz2Gye5dmiUhb+owF3P7XNHp68k8g/b1IXb+iyS7GXsCJ4Be6nKQLemjY1edbsDp4daNCSEKJVKEDUct4OApjd+Elx0GsJIDRW++zh4Ba6OXuYVZiFH2/8iN23d0MsE0NoJMSgeoPwadNP4WDmoOnmEUKI3viomTFEKXcU5Sw6z1Tb55ScPazlZAldFJkRiVXBq3Am+gw/tjGx4f3Su/Xf5bUNCSFE21CAqOVW9jCFkUwCePcA6nZTy2fo+uyhVCbFnxF/YmPIxuIlO22rtcV0/+moa19X080jhBC9s6iz6dNtDxbqGYDT9dnDjIIM/HDjB/xy+xdI5BKIjEQY4jME45qMg60pZc0mhGgvChC13Fv1jSEXiGDUQz2pw5nfgp/o7Ozh5bjLfJ/hvbR7xUt22F6ONzzeoCU7hBCiJq5WAkjtakPY8mO1fcb6kxE6OXvI9hn+ce8Pvs8wvSCdP8eWkU71n4ratrU13TxCCHkpChB1QH7jD2DurJ7MbWKpDD/895A/Ht+pjs7MHj7OfIyVwStx5gkt2SGEEE3IeWMWbNS07eFeQhbPXMrG+SZ01p2VIBdiLvBBywcZilU5dWzr8EHLdh7tNN00QgipMAoQtdyKiwUYPeYzmKvp+v/ciENMeh6crEwwWAcyl2YWZuKH6z9g7529fJSW7TNkS3bGNxlPS3YIIaSKLDxbgE8ndlLb9Tf/pwiwejdy04nMpQ8zHmJl0EqciznHj+1M7TCx6US8U+8diAT0pxYhRLfQby0tN+N4AT4yU09RYJlMju+L9h6OalcLZsZCra9nuPba2uJ9hmwZKcsAV9uOluwQQkhVmnO6AJ+qaRl/dFou/g6N5Y/HdawDbZYjzsHm65t5PUPlPkOWMfuTJp/wlS2EEKKLKEA0YKfvJuJuQhasTEX4oHUNaKvwlHAsubIE15Ou8+NatrV4ofv2Hu013TRCCCEqtvXcI0hkcrSv6wQ/T/UMkL4uuVyOI4+O8OykiXmJ/LlOnp34PsOatjU13TxCCHktFCAaMOXs4bDW1WFrbqyVGeA2hGzAb3d/gxxyWIgs+FLSYQ2GwVhN+14IIYRoTkp2AfYFRRXvi9dGEWkRWBK4BEHxQfzYy9oLX7X6iieiIYQQfUABooG6+jgVwY/TYCIUYHS7WtC25aT77+/HumvrkFaQxp/rXas3praYCldLV003jxBCiJrsuvQY+WIZ/Dxt0baOI7RJdmE2vr/+Pfbc3gOpXAozoRk+bvwxPmz0IUyFRWU/CCFED1CAaKC2nX/E799u5gEXGzNoi7CUMCy5vAQ3km/w47p2dTEzYCZaurXUdNMIIYSoEavJu/vyY/54bIfaWlOqiC0n/efRP3w5aXJeMn+ui1cXzGg1Ax5WHppuHiGEqBwFiAboSWoujt6K548/aq8ds4e54ly+nJRlJ2UziJbGlnw5KdvsT2UrCCFE/7HENCk5hfCwM0evhm7QBk8yn2DB5QW85i5T3bo6vg74mvbAE0L0GgWIBuini5GQyYE3vJ1Q381a083B2eizWHR5EeJy4oqXk073nw5nC2dNN40QQkgVzdJtv6BY2TKybQ2IhJqtySuWifFz+M/4PvR75Evz+RLSsX5j8WHDD2EiNNFo2wghRN0oQDQw2QUS/Br0RCtmD9lSneWBy3Ek8gg/Zkt1ZreeTSOzhBBiYC5EpOBOfBYsTIR4r2V1jbYlLDkMcy/Oxd20u/w4wC0Ac9rMQXUbzbaLEEKqCgWIBua3oCfIKpCgjrMlOno7a2yk+EDEAawMXskL3wuMBBjeYDg+bfopLIwtNNImQgghmrPt/EN+P7iFp8ayarOtDhtDN/IkNGyrg62pLa+1279Of63ZD0kIIVWBAkQDIpPJsfNiZPHsoUBQ9R1ebHYs5lyYgyvxV/hxA4cGmNt2Lho6NqzythBCCNG8h0nZOH03CSwGG6WhrNpX4q7wvik2J5Yf96nVh9fbdTTXrkyqhBBSFShANCD/3U9CVGoubMxEGNjMs8pnDfdH7MfyoOXIEefw9OATmk7AB74fQCSgH0NCCDFUuy8r6h52qe+Cmk6WVT5ruPbaWvxy5xd+XM2yGt/q8IbnG1XaDkII0Sb0l7kB2VOUPnxQCy+Ymwir7HMTcxMx7+I8nIs5x4+buTTDonaLaD8HIYQYuLxCKf64qtgX/0HrGlX62aGJoZh1fhaishQB6rv13sVU/6m01YEQYvAoQDQQMel5OHUnkT8e1rp6lc0aHn50GEuuLOF7DU0EJpjUbBKG+w6HUFB1ASohhBDtdPBGLDLzJfC0N0eHelWzL75AWoBNIZuwM2wn5JDD1cIVC9ouQFuPtlXy+YQQou0oQDQQv1yJ4qUt2tZxRB1nK7V/XlZhFhZeXogjjxQZStkew8XtF6OOXR21fzYhhBDdWtnyfkB1CKtgX/yD9AeYcXYG7qXd48dv1XkLX7b6EjYmNmr/bEII0RUUIBoAsVSGfUFVt4TnZvJNzLw4EzHZMRAaCfFJk0/wceOPqeA9IYSQYjejM3A9OgPGQiO86++l9hUtf0b8iZVXV/K6hg5mDpjXZh46V++s1s8lhBBdRAGiATgWloDk7AK4WJuiu6+r2j6HpQX/L/8/nD5+GhK5hNc1XNZhGZo4N1HbZxJCCNFNe64oZg97N3KHk5Wp2j6HbXHYl7sPYYFh/LhttbZ8RYuTuZPaPpMQQnQZBYgGYHfREp4hLb1gLBSo5TOScpPw1dmvEJgfyI971ezFCwtbm1ir5fMIIYTorsx8Mf4KjVX7yhaWiGb6f9MRL46HyEiEz5t/jhENR/D6u4QQQspGAaKei0jMxqWHKWBbO4a0Uk9ymqD4IEz7bxpS81NhDGPMDJiJd+q/Q4WFCSGElOnPq9HIE0tRz9UKLWvaq2VJ6a7wXVhzdQ2kcikcBA5Y130dmro1VflnEUKIvqEA0UCW8HTxcUU1O3O1dsD17Oqht7Q3+tfpT8EhIYSQcvuO3VcUpSWGBdRQeX/BahvOvTgXRyOP8uPeNXvDP82fJ0sjhBDycrTGQo/li6X439Vo/vgDFZe2YB0wywS3MnglDw771e6HHT12wFlYNWnKCSGE6KbAR6l8dYu5sRBvN/dQ6bUjMyIx7PAwHhyyJaVsRcuiNotgaqS+PY6EEKJvaAZRj/0bFv+0vpS3s0o74MlnJiMiPYJ3wDNazcCQ+kMgkUhU9hmEEEL00+9FA5dvNakGGzPVZbc+FXWKF77PFmfD2dwZqzutRlOXphCLxSr7DEIIMQQUIOqxP4o64Xeae0KgovpSZ6PP4suzXz7XARNCCCEvk1MgweGbcfzxYH9PlS1Z/e76d9h8fTM/bu7SHKs6raIspYQQYohLTFNTUzFs2DDY2NjAzs4Oo0ePRnZ29gvfk5+fjwkTJsDR0RFWVlZ45513kJCQUOqcqKgo9O3bFxYWFnBxccH06dNLzY7FxcXh/fffR7169SAQCPDFF1+U+Vm///47fHx8YGZmhsaNG+Pw4cOoKrHpeTgfkVwcIKqiA95zew8mnZrEg0PWAf/W7zcKDgkhhFTYkVvxyC2UoqajBVrUeP3kNPmSfL7dQRkcftDgA2ztuZWCQ0IIMdQAkQWHYWFhOH78OA4dOoSzZ89i7NixL3zP5MmTcfDgQR68/ffff4iNjcXAgQOLX5dKpTw4LCwsxMWLF/HTTz9h586dmDNnTvE5BQUFcHZ2xuzZs9GkSdk1/th7hw4dyoPWkJAQDBgwgN9u3bqFqrA/JAZyORBQywHVHS1e61oSmQSLryzGt4Hf8lqHA70HYmsP6oAJIYS8mj+uPuH3g1p4vnZymuS8ZIw+Nrp4v+GCtgvwZasvYSxQ3bJVQggxRDobIN6+fRtHjx7F1q1bERAQgPbt22PDhg3Yt28fD/rKkpGRgW3btmH16tXo0qULWrRogR07dvBg7vLly/ycY8eOITw8HLt370bTpk3Ru3dvLFy4EJs2beJBI1OzZk2sW7cOI0aMgK2tbZmfxV7v1asXn31s0KABv0bz5s2xceNGqBub7VMuL2Wd8OvIKszCxJMT8evdX2EEI0xpMQXz2syDsZA6YEIIIRX3JDUXlx+mgsWFb7/mypb7afcx7J9huJF0AzYmNtjSYwve9n5bZW0lhBBDprN7EC9dusSXlfr7+xc/161bN77k88qVK3j77ec7iqtXr/LN6uw8JbYEtHr16vx6rVu35vdsOairq2vxOT179sT48eP5bGWzZs0q3L4pU6aUeo5d58CBA+W+h81MsptSZmYmv2dtfpVN9tei0vEoOQcWJkJ093Gq9Ab9pLwkTDo9CffS78FMaIbFbRejs1fncpPRKD9HlxIC6Fqbda29Mpms+F4X2qxr3y+1V710pZ3qpqq+6fcgRWmLNrUd4GIpqvT3ezXxKib/N5lvd6huXR3rOq5DDZsa5V5PV3/uqL3qQf2SelF71auq2qmzAWJ8fDzfH1iSSCSCg4MDf62895iYmPDAsiQWDCrfw+5LBofK15WvvUr7yrrOi66xdOlSzJ8//7nnT58+zfdDVtS+B2xiWIBGtmL8d/IYKiNFmoKdOTuRJkuDlZEVhpsPR97NPBy++fJ9lGzJr67RtTbrSnuVP+8REREv3R+sTXTl+1Wi9qpHbm6uppugFVTRN8nkwJ4QIQAj1DFKqvSe/PDCcPyW+xskkKCGsAaGGQ1D2PkwsP/Tl587JWqvelC/VDWovbrdL2ldgPjVV19h2bJlL11eqo++/vrrUrOObJTWy8sLnTt35kl1KiKvUIpZ1/5jOwfxWb9WfA/iq7qdehurz6zmwaGnlSc2dd4EL2uvCo1qsH9g3bt3h7GxbixB1bU261p72b5g1hnXrVsXHTp0gLbTte+X2qteKSkpmm6C3vRNVx6lIuVyMCxNhZg+tCvMTViw+Gr2R+zHvqB9kEGGjh4dsbTdUpiJzPTu547aq17UL6kXtVc/+iWtCxCnTp2KDz/88IXn1K5dG25ubkhMTCz1PFv6yDKbstfKwp5n+wjT09NLzSKyLKbK97D7wMDAUu9TZjkt77rlfdaz2VFLfk5ZTE1N+e1Z7Ae2oj+0h8MSkV2gqH3Ytq7LK5e3CIoP4plKc8Q58HHwwffdvn/lZDSv0l5toWtt1pX2siXfyntdaK+ufb9K1F710IU2VgVV9E0Hritmbfr5VYON5cuDumdtvbkV666t44/frvs25rSZA5FApJc/d0rUXvWgfqlqUHvVo6raqHVJalh2ULYv8EU3tky0TZs2PNBj+wqVTp06xdeUs6Q1ZWFJadgXe/LkyeLn7t69y8tasOsx7P7mzZulgk82ssBKafj6+lb4v4Ndp+TnKK+j/BxtrH14MeYixp8Yz4PDlm4tsb3ndspUSgghRGW1D181cRpLurYxZGNxcPhx448xv+38Vw4OCSGEVJzO/oZlmUFZltAxY8Zg8+bNfIp44sSJGDJkCKpVq8bPiYmJQdeuXbFr1y60atWKZxxlZSfYUhm2V5EFfZMmTeJBG0tQw/To0YMHgsOHD8fy5cv5MgRWzoLVTiw5ghoaGsrv2fr1pKQkfswCV2UQ+fnnn6Njx45YtWoVL5vBsqsGBwdjy5YtavtO4jIqX/vwbPRZTD49GYWyQnT07MiLDJsKnx8xJoQQQqqi9iELDllguO3WNn7MsmiPajRKjS0lhBCi0wEis2fPHh4UsiCQLRVgRe/Xr19f/DoLGtkMYckNnWvWrCk+l2VlY5lFv/vuu+LXhUIhr6nIspaywNHS0hIjR47EggULSn12yWymbBZz7969qFGjBiIjI/lzbdu25c+x4HLmzJnw9vbmGUwbNWqktu/j0PU4XvuwVc1Xq314Ouo0pvw3hdc77Fq9K1Z0WEFlLAghhKjE39cVpacGNq947UMWHK4MXold4bv48Zctv8QHvh+otZ2EEEL0IEBks4AsCCsPq1fIOpmSzMzMeE1DdisPC/RelmHt2euWZfDgwfxWVQ7eUHTC/ZoqZlAr4sTjE5j+33RI5BL0qNED33b4looME0IIUYmU7AJcKFrZ0q9Jxfom1r8uC1qGPbf38ONZAbMwxGeIWttJCCFETwJE8hSre3gjOgNCgRF6N3Kr8LLS6WcVwWGfWn2wuP1i2tdBCCFEZQ7fiodUJkdjD1vUcrKsUHC45uoaHhwawYgnoxlUb1CVtJUQQogCRQN64lDREp62dRzhZGVaoWylU84olpX2rtkbS9ovgVDw6mnHCSHk/+3dB3hUVdrA8TcNUoAAUmIw9N7bEpqCgICyyqprw1WwoRQLIihKV0RWVlZZUGQF9FsRK7oqAqKsWBBYinSkN0mQXkIgCfd73uPeOJNeZnLnkv/veSbT7sy8uXPmnvvec+45QHY+/V/ddH2zy/O0/MwNM2X2ptnmNskhADgj4EYxRSG7l+ahC8+GXzfI4K8Gy/m089L5is4y4coJJIcAAJ8PnLZqzzFz+49Nc6+btNVw6tqp5vaw1sNIDgHAISSIl4BtCafl58QzEhYSJD0a5dy99OfjP8tDSx6SpNQkiY+Jl8mdJ3POIQDA5z5f/9vAaX+oXk5iy0bkuOz87fPlhZUvmNsDmw2UuxvdXURRAgAyIkG8hLrwdKpbSaIjsk/2fjnzizz05UNy6sIpaVqxqbzS5RWmsgAA+Ll7aWyuI2mPXT7W3L674d3yULOHiiQ+AEDWSBBdTk/ot7uX3pDD6KWaFA5cMlB+Pfer1C5bW6Z3nS6RYXmfCgMAgLzae/Ss/HTgpAQHiVzbOPvzDzce2SjDlw2Xi9ZFubH2jfJE6yfyPBUGAMA/SBBdbsPBk7L3aJJEhIVItwaVslwmJS1FhiwdIjtP7pRKEZXk1W6vSnTJ6CKPFQBQPHy2/pC5bl+rglQsnXVPlQOnD8igrwZJclqydIjtIKPajSI5BIAAQIJ4iXTh6dqgkkSWCM2yhXHMD2NkZcJKiQyNlGndpklMVN6mwQAAwB+jl548f1IGLBkgx5KPSf3y9eVvnf/G+fAAECBIEF3s4kUr/Shtdud4TFs3TT7d9amEBIXIS51fMhUxAAD+8nPiadmacNoMnNazUeYE8ULaBXl06aOy59QeqRxZWaZ1nSZRYbnPkQgAKBokiC62et9xOXQyWUqXDJVOdStmen7h7oUyY/0Mc3tU21HSoUoHB6IEABTHeXm1XoqODMvUq+W5H5+T1YmrpVRYKZnebbpUisz69AgAgDNIEF3siw0J5vqahpUlPMx7HsNtx7bJqO9Hmdv3NLpHbq57syMxAgCKly82/lY39WqaufXw3W3vyvwd8yU4KFgmd5osdcvVdSBCAEBOSBBdSo/CLtr0WyXcPcPch8eTj5vuO3rif/vY9vJoy0cdihIAUJzs+vWMbD98RkKDg6RLvcpez/034b8yaeUkc/uxlo/RqwUAAhQJoktt+uWUHDxxTsLDgr26l6ZeTJVh3wyTg2cOSlzpOPnrVX+VkGDv1kUAAPxh0aZEc92u1mVe3UsTzibI0G+GSqqVKtdWv1b6NernYJQAgJyQILrU4s2/VcJX1akoESV+TwBfWv2SrEhYIRGhEfLy1S8znQUAoMgs3py5Z0tyarLp1WKPWDquwzimswCAAEaC6FKL/9e9tIdHJbx4z2L5v83/Z25P6DhB6pSr41h8AIDiJfFUsqzdd8Lc7t7w9+6lL6x8QTYf3SxlS5aVv1/9d3MAEwAQuEgQXWjv0bNmCPGQ4CAz/6Haf3q/me9Q3dv4Xrmm2jUORwkAKI49W1pULSuVy4Sb21/s/kI+3P6hBEmQTLpqklQpVcXhKAEAuSFBdCF7cJq2NctL2cgSkpKWIsO/GS5nUs5Is4rNZHCLwU6HCAAo5j1b9p3aJ+OWjzO3729yvxk0DQAQ+EgQXTwIgF0Jv7zmZdl4dKOUKVHGDEoTFuw97xQAAP50MilFlu88ml43XUi7IMOWDZOzKWelZaWWMrD5QKdDBADkEQmiyxw+nSxr9h03t7s3jJFlB5bJm5vfNPfHdxgvsaViHY4QAFDcfL0tUVIvWlK3cimpUSFKpqyeYs471IHStGtpaHCo0yECAPKIBNFlvtycKJYl0iyurASHnZKR3400j/ep30e6Vu3qdHgAgGJo0cbfe7Z8s/8b+deWf5n7z3V4TmKivOfqBQAENg7pubR7afeGlcygNMfPH5cG5RvI0NZDnQ4NAFAMJaekyTc//2put6sTLiN+GG1u/6XBX6RzXGeHowMA5BctiC5yKlnP8ThibodEr5LvDn4nJYJLyAtXviAlQko4HR4AoBha9vOvci4lTaqUjZAP975i5jusXba2DGk1xOnQAAAFQILoIku3HpaUNEtqxJyX2VteNo890vIRqVm2ptOhAQCK+fQWDWrvlMV7F0toUKg81/E5DlwCgEuRILrI11sPi8hFCan0niSlJpmR4bQLDwAATrh40TIHL4NCTsvG83PMYw80fUAaXdbI6dAAAAVEgugSaRctc45HWLkfJTFlk0SERpiT/0OCQ5wODQBQTK0/eFKOnj0vpap8JGdTT5lz4jVBBAC4FwmiS6zbf1xOphyS8EpfmPuPt3pc4srEOR0WAKAY09bD0OjVIlFbzBy8EzpOYC5eAHA5EkSX+GpLooRfPl8kOEXiL4+XW+vd6nRIAIBibsnPOyS88ufm9sDmA6VOuTpOhwQAKCQSRJf4bNfnEhq1U8KCSsrYdmMlOIivDgDgnCNnLsjOtHkSFHJOakfXlX6N+jkdEgDAB8gyXGDXsSNytOQH5na/Rg/IFaWvcDokAEAxN2/LtxIWvVbECpLxHcZKaDBTKwPApYAE0QX+9tN0CQ49KyUuxsqAFvc6HQ4AoJgLCguSTxNmmNv1o3pIk4pNnA4JAOAjJIgBLrJupGw6+7W53aPyIE7+BwA4ruIfK8n5oMNyMaW0PNbqEafDAQD4EAligIvtW8VcXzj+B+nTrJPT4QAAIBV6VTTXYSdvlLbVOe0BAC4lJIgBLrxKSbmYGiVlknpLo9gyTocDAIDo6YapZ+rJ1VW6SUhwkNPhAAB8iATRBc4n9pKr61aXoCAqYQCA86y0UElO6C1XN6jsdCgAAB9zdYJ47NgxufPOO6VMmTJStmxZue++++TMmTM5viY5OVkGDRokl112mZQqVUpuvvlmSUxM9Fpm37590qtXL4mMjJRKlSrJsGHDJDU1Nf35Q4cOSZ8+faRu3boSHBwsjz32WKbPmTNnjknoPC/h4eH5/h9PrrtFUk+1kC71K+X7tQAA+EPSvgESlFpeOtX5raspAODS4eoEUZPDTZs2yZdffimfffaZLFu2TPr375/ja4YMGSKffvqpvP/++/LNN9/IL7/8IjfddFP682lpaSY5vHDhgvzwww/y5ptvmmRv9OjR6cucP39eKlasKCNHjpRmzZpl+1mauGoyaV/27t2b7/8xuGQrCQ0Olg61K+T7tQAA+MPF5CrSNLa0REcycBoAXGpcO2nRli1bZOHChbJq1Spp3bq1eWzq1Kly3XXXyeTJkyU2NjbTa06ePClvvPGGzJ07V7p06WIemz17tjRo0EB+/PFHadu2rSxevFg2b94sS5YskcqVK0vz5s3l2WeflSeffFLGjh0rJUqUkOrVq8vLL79sXj9r1qxsY9RWw5iYmEL/ry2uKC2lw6mEAQCBo2Otsk6HAADwA9cmiMuXLzfdSu3kUHXr1s10+VyxYoXceOONmV6zevVqSUlJMcvZ6tevL1WrVjXvpwmiXjdp0sQkh7YePXrIgAEDTGtlixYt8hyjdnetVq2aXLx4UVq2bCnPP/+8NGrUKNvltWVSL7ZTp06Z67bVypi4A50doxtidWvMbotXy7597YaY3bZ+ide/3BKnv2VXN8XHlXLFOnJruSNe/6Be8i/i9a+iitO1CWJCQoI5P9BTaGiolC9f3jyX3Wu0BVATS0+aDNqv0WvP5NB+3n4ur+rVq2daF5s2bWpaLrVVs3379ibJvOKKrIcEnzhxoowbN87rsYhaf5CoBo/LggV7xC20y6/buC1mt8Rr/2Z27NiR6/nBgcQt69dGvP6RlJTkdAgBIau6KaphZ9nftL8c27VB3MIt5c5GvP5BvVQ0iNfd9VLAJYhPPfWUTJo0KdfupYGuXbt25mLT5FC7ss6YMcN0Wc3KiBEj5PHHH/c6ShsXFyd/6tHZDKrjhqMa+gO75pprJCzMHV1i3Raz2+LV84K1Mq5du7ZcddVVEujctn6J17+OHj3qdAgBIbu6qUuXd6ib/IB4/Yt6yb+I99KolwIuQRw6dKj069cvx2Vq1qxpzu07fPiw1+M60qiObJrdeX/6uA4+c+LECa9WRB3F1H6NXq9cudLrdfYop4U5n1ALnXZP1SNW2SlZsqS5ZPVaNxRat8brxpjdEq92+bav3RCv29avjXj9ww0xFgXqJmcQr39QLxUN4vWPooox4BJEHR1UL7nR1jlN9PS8wlatWpnHvv76a9OnPD4+PsvX6HK6Yr/66iszvYXatm2bmdbCbu3T6wkTJpjk0+7CqkcWdETShg0bFvj/0tFRN2zYYAbRAQAAAIBA5NppLrS7Zs+ePeWBBx4wLX7ff/+9DB48WG6//fb0EUwPHjxoBqGxWwSjo6PNXInaVWbp0qUmubznnntMUqgD1Kju3bubRPCuu+6Sn376SRYtWmSms9C5Ez2PoK5bt85ctP/6r7/+am7r6Ke28ePHmxFRd+3aJWvWrJG//OUvZpqL+++/v8jXFQAAAAC4sgUxP95++22TFHbt2tV0FdBWwVdeecWrX7G2EHqe0DllypT0ZXVUNh2hdPr06enPh4SEmDkVddRSTRyjoqKkb9++JuHz5DmaqSaaOnWGjli6Z89vg8kcP37cJK/az71cuXKm9VLnVSxMKyQAAAAA+JOrE0QdsVQTs+zofIWWZXk9Fh4eLtOmTTOX7Giit2DBghw/O+P7ZqSJqF4AAAAAwC1c28UUAAAAAOBbJIgAAAAAAIMEEQAAAABgkCACAAAAAAwSRAAAAACA+0cxvdTZI6WePn1awsLCJNDptCI6pcipU6dcEa8bY3ZbvGfPnpXk5GRzrTEHOretX+L1L9325mXU6uKGusm/iNe/qJf8i3gvjXqJBDGAHT161FzXqFHD6VAAoFhvi6Ojo50OI2BQNwHApV0vkSAG+DyPat++fa7YOdGjL3FxcbJ//34pU6aMuIHbYiZe/yJe/3JbvCdPnpSqVaumb4vxG+om/yJe/yJe/yLeS6NeIkEMYMHBv50iqhWwGwqtTWN1U7xujJl4/Yt4/ctt8drbYvyGuqloEK9/Ea9/Ea+76yVqPQAAAACAQYIIAAAAADBIEANYyZIlZcyYMebaDdwWrxtjJl7/Il7/It5Lg9vWC/H6F/H6F/H6F/FmLchi/G4AAAAAAC2IAAAAAAAbCSIAAAAAwCBBBAAAAAAYJIgOmzBhgrRv314iIyOlbNmyeXqNnjY6evRoufzyyyUiIkK6desm27dv91rm2LFjcuedd5o5XfR977vvPjlz5kyh483v++7Zs0eCgoKyvLz//vvpy2X1/Lx584o8XtW5c+dMsTz00ENey+gE0b169TLfW6VKlWTYsGGSmppa5PHq8g8//LDUq1fPlAWdPPWRRx4xE6l68tX6nTZtmlSvXl3Cw8MlPj5eVq5cmePy+h3Xr1/fLN+kSRNZsGBBvstyYeQn3pkzZ8qVV14p5cqVMxeNJePy/fr1y7Qee/bs6Ui8c+bMyRSLvi5Q129Wvyu96O+oKNbvsmXL5Prrr5fY2Fjzvh9//HGur/nPf/4jLVu2NIMB1K5d26zzwv4m3MBt9VJB3pu6yb/xUjf5Ll7qJv/GS92UDR2kBs4ZPXq09dJLL1mPP/64FR0dnafXvPDCC2bZjz/+2Prpp5+sG264wapRo4Z17ty59GV69uxpNWvWzPrxxx+tb7/91qpdu7Z1xx13FDre/L5vamqqdejQIa/LuHHjrFKlSlmnT59OX06L4uzZs72W8/x/iipe1alTJ+uBBx7wiuXkyZNe/1Pjxo2tbt26WWvXrrUWLFhgVahQwRoxYkSRx7thwwbrpptusv79739bO3bssL766iurTp061s033+y1nC/W77x586wSJUpYs2bNsjZt2mTWUdmyZa3ExMQsl//++++tkJAQ669//au1efNma+TIkVZYWJiJOT9luaDyG2+fPn2sadOmme90y5YtVr9+/UxsBw4cSF+mb9++5jvyXI/Hjh0rdKwFiVe/zzJlynjFkpCQ4LVMIK3fo0ePesW6ceNGUz70/yiK9au/02eeecb66KOPzO9h/vz5OS6/a9cuKzIy0mybtfxOnTrVxLtw4cICrwO3cFu9VJD3pm7yb7zUTb6Ll7rJv/FSN2WNBDFAaEHMS0V88eJFKyYmxnrxxRfTHztx4oRVsmRJ65133jH3tcBoIVu1alX6Ml988YUVFBRkHTx4sMAx+up9mzdvbt17771ej+XlR1FU8Wol/Oijj+b4Yw4ODvba4L366qtmg3j+/Pkijzej9957z2wYUlJSfLp+27RpYw0aNCj9flpamhUbG2tNnDgxy+VvvfVWq1evXl6PxcfHWw8++GCey3JRxpuR7myVLl3aevPNN70qid69exc6Nl/Em9s2I9DX75QpU8z6PXPmTJGsX095+T0MHz7catSokddjt912m9WjRw+frYNA54Z6yZfvTd3k23gzom4qWLwZUTf5Nt6MqJt+QxdTl9m9e7ckJCSY5nhbdHS0aT5evny5ua/X2gWkdevW6cvo8sHBwbJixYoCf7Yv3nf16tWybt060z0lo0GDBkmFChWkTZs2MmvWLNMFoTAKE+/bb79tYmncuLGMGDFCkpKSvN5Xu6RUrlw5/bEePXrIqVOnZNOmTY7E60m78Gg3oNDQUJ+t3wsXLpjvzrPcaVx63y53Wf0/nsvb68lePi9luaAKEm9G+p2npKRI+fLlM3Xt0K5b2nVqwIABcvTo0ULFWph4tYtXtWrVJC4uTnr37u1V/gJ9/b7xxhty++23S1RUlN/Xb0HkVn59sQ4uFU7WS756b+om/8TribqJuskN65e66Tfev1IEPP1RKc8KwL5vP6fXWog96QZZNyb2MgX97MK+r/7wGjRoYM5v8TR+/Hjp0qWLOW9i8eLFMnDgQLOB0XMWijrePn36mA2b9gdfv369PPnkk7Jt2zb56KOP0t83q/VvP1fU8Xo6cuSIPPvss9K/f3+frl9937S0tCz/761bt2b7/+RWTu3HslumoAoSb0b6vWsZ8NzI6jkHN910k9SoUUN27twpTz/9tFx77bVmoxsSElKk8WolpTtTTZs2NTtekydPNr8rrYivuOKKgF6/ei7Exo0bzfbAk7/Wb0FkV351Z/vcuXNy/PjxQpexS4WT9ZKv3pu6yffxeqJuKni8GVE3+TZeT9RNvyNB9IOnnnpKJk2alOMyW7ZsMSdIuynewtKCO3fuXBk1alSm5zwfa9GihZw9e1ZefPHFLCsJf8frWYHp0Vg9ibpr165mo1CrVq2AXb+6cdCTqhs2bChjx44t8PqFyAsvvGAGStAjhp4n1+tRRc+yoRWglgldTstIUWrXrp252LQC1h3cGTNmmB2xQKaVr64/bTHwFEjr91LjtnpJUTd5o24CdZN/UTf9jgTRD4YOHWpGPMpJzZo1C/TeMTEx5joxMdFUDja937x58/RlDh8+7PU6HcVMRxWzX1+QePP7vhl98MEHpmvE3Xffneuy2tVANyTnz583ozQ5Ea9nLGrHjh1mg6CvzTgalK5/5dT6PX36tDnCVbp0aZk/f76EhYUVeP1mRbv/6FEy+/+06f3sYtPHc1o+L2W5oAoSr02PdmolvGTJElMJ5Pa96Wdp2ShMJVGYeG36nesOlsYSyOtXdwB1B0dbDnLjq/VbENmVX+0ip6Pu6f9f2O+sKLmtXspPzNRN1E3UTd6om6ibEgtbN/3vXES4bDCAyZMnpz+mo5hlNRjAf//73/RlFi1a5LNBagr6vnqCfcYRzLLz3HPPWeXKlStwrL6I1/bdd9+Z99GRtjwHAvAcDWrGjBlmIIDk5OQij1e//7Zt25r1e/bsWb+tXz3pefDgwV4nPVepUiXHgQD++Mc/ej3Wrl27TAMB5FSWCyO/8apJkyaZ73H58uV5+oz9+/eb7+eTTz5xJN6MAxfUq1fPGjJkSMCuX3tbpzEcOXKkSNdvQQYC0BEhPemojRkHAijMdxbo3FAv+eK9qZv8Ey91k2/iVdRN/o+XuskbCaLD9u7da4YutofX1tt68RxmW39YOvyt5/DAOlytFsz169ebkZWyGk68RYsW1ooVK0wlosNL+2qai5zeV4dd1nj1eU/bt283PyYd+SwjHQZ75syZZohpXW769OlmCF8dar2o49XhuMePH28qwt27d5t1XLNmTeuqq67KNJR49+7drXXr1pmhhStWrOizocTzE69uVHX0tSZNmpjYPYdg1jh9uX512GTdeM6ZM8fsMPTv39+UQ3vEvLvuust66qmnvIYSDw0NNZWADs09ZsyYLIcSz60sF1R+49VYdIS9Dz74wGs92r9FvX7iiSdMBa1lY8mSJVbLli3Nd1SYna+CxqvbDN1J27lzp7V69Wrr9ttvt8LDw82Q1oG4fm0dO3Y0I65l5O/1q+9vb1+1EtZpHPS2boOVxqoxZxxKfNiwYab86jDzWQ0lntM6cCu31Ut5eW/qpqKNl7rJd/FSN/k3Xht1kzcSRIfp0LlaIDJeli5dmmmeIJsefRk1apRVuXJlUwC6du1qbdu2LdO8Lrrx1spdjzrdc889XpV7QeX2vvrjyRi/0goqLi7OHMXISCtmHV5c3zMqKsrMtfTaa69luay/4923b5+pcMuXL2/Wrc71pD9Cz7mm1J49e6xrr73WioiIMPNMDR061Gvo7qKKV6+zKj960WV9vX51vp2qVauaykqPUOmcWDY9SqzlOeOw5nXr1jXL67DMn3/+udfzeSnLhZGfeKtVq5bletSdB5WUlGR2vHSHS3cmdHmdW8iXyUB+4n3sscfSl9X1d91111lr1qwJ2PWrtm7datbp4sWLM72Xv9dvdr8VO0a91pgzvkZ/O/r/6c6453Y4L+vArdxWL+XlvambijZe6ibfxUvd5N94FXVTZkH6x1f9YgEAAAAA7sU8iAAAAAAAgwQRAAAAAGCQIAIAAAAADBJEAAAAAIBBgggAAAAAMEgQAQAAAAAGCSIAAAAAwCBBBAAAAAAYJIgAAAAAAIMEEYBPdOrUSYKCgswlLCxM6tWrJ3PnznU6LABAMUbdBOQfCSKAQrMsS9auXSsTJ06UQ4cOybZt26Rdu3bSt29f2b17t9PhAQCKIeomoGBIEAEU2vbt2+X06dPSsWNHiYmJkZo1a8qIESMkNTVV1q9f73R4AIBiiLoJKBgSRACFtnr1atN9p2nTpumPHThwwFxXrlzZwcgAAMUVdRNQMCSIAAptzZo1UqNGDSlTpoy5v3XrVhk+fLg0b95c2rRp43R4AIBiiLoJKBgSRAA+qYT37NkjpUqVkvDwcGnRooU0adJEFi5cKMHBbGYAAEWPugkoGH4dAHxSCQ8bNkzWrVsnu3btkqSkJJkzZ47pwqMDBPTo0SN92U8++UT69+/vaLwAgOJdN6kOHTrIihUrzO377rtPpkyZ4nDEQGAIsnSIJwAoIK10a9WqJUuWLJGuXbtmel4HA9AuPvv37ze34+Pj5bPPPpPLL7/ckXgBAJe+3OompS2JM2bMkCuvvFK2bNkiM2fOLPI4gUBECyIAnwwC0Lp16yyfDw0Nlbi4ONPN5/XXX5devXqRHAIAHK2bVM+ePWXfvn3y+eefy/Tp04s0PiCQhTodAAD3d+GpXbu2REdHZ7uMDgawdOlSefXVV+WHH34o0vgAAMVPXuqmVatWybFjx6RatWoSFhZWpPEBgYwupgD8bu7cufLwww/L+PHjZdCgQU6HAwAo5g4ePCjXXXedfPzxx3LzzTfLW2+9JY0bN3Y6LCAg0MUUgN/VrVtXLrvsMnnwwQedDgUAUMydO3dObrnlFpk6dao5R37EiBHy7LPPOh0WEDBoQQTgd/fee6/07t3bXAAAABC4aEEE4Dc7d+6UevXqSVRUFMkhAACAC9CCCAAAAAAwaEEEAAAAABgkiAAAAAAAgwQRAAAAAGCQIAIAAAAADBJEAAAAAIBBgggAAAAAMEgQAQAAAAAGCSIAAAAAwCBBBAAAAAAYJIgAAAAAAIMEEQAAAABgkCACAAAAAAwSRAAAAACAQYIIAAAAADBIEAEAAAAABgkiAAAAAMAgQQQAAAAAGCSIAAAAAACDBBEAAAAAYJAgAgAAAACM0N+uAMA5aWlpkpKS4nQYAACXCwsLk5CQEKfDAFyNBBGAYyzLkoSEBDlx4oTToQAALhFly5aVmJgYCQoKcjoUwJVIEAE4xk4OK1WqJJGRkVTmAIBCHXRMSkqSw4cPm/uXX3650yEBrkSCCMCxbqV2cnjZZZc5HQ4A4BIQERFhrjVJ1PqF7qZA/jFIDQBH2OccasshAAC+YtcrnNsOFAwJIgBH0a0UAOBL1CtA4ZAgAgAAAAAMEkQAyKdp06ZJ9erVJTw8XOLj42XlypV5fu28efPM0e0//elPXo+fOXNGBg8eLFdccYU5h6Zhw4by2muvZXr98uXLpUuXLhIVFSVlypSRq666Ss6dO5f+/IQJE6R9+/ami5WO5Af3lps5c+aYsuJ50dfmp9zs2bMn03vYl/fffz/T5zVt2tR8hp67NWjQIB+vARTV9kbP79bvTwdpKVmypNStW1cWLFiQ/vzYsWMzlYf69evne3tzww03SNWqVU1s+ll33XWX/PLLLz787wE4gQQRAPLh3Xfflccff1zGjBkja9askWbNmkmPHj3SR83Lie6sP/HEE3LllVdmek7fc+HChfKvf/1LtmzZIo899pjZ8f/3v//ttbPWs2dP6d69u9lJXLVqlVkmOPj3TfmFCxfklltukQEDBvjwv4ZT5UZ3yg8dOpR+2bt3b77KTVxcnNfr9TJu3DgpVaqUXHvttenv89JLL8kzzzwjTz31lGzatEmWLFli4oP7yo1uA6655hqzvfnggw9k27ZtMnPmTKlSpYrXco0aNfIqF999953X83nZ3lx99dXy3nvvmc/48MMPZefOnfLnP//ZD2sCQJGyAMAB586dszZv3myu3aRNmzbWoEGD0u+npaVZsbGx1sSJE3N8XWpqqtW+fXvrn//8p9W3b1+rd+/eXs83atTIGj9+vNdjLVu2tJ555pn0+/Hx8dbIkSPzFOfs2bOt6OjoPC2rVcH8+fO9HtPX6nuo3bt3m2Xeffddq2PHjlZ4eLjVunVra9u2bdbKlSutVq1aWVFRUVbPnj2tw4cP5+kzi5uClJu8fId5KTcZNW/e3Lr33nvT7x87dsyKiIiwlixZksf/5vcysXbt2vTHjh8/bh5bunSpua/Xen/hwoXmM7XcXH311VZiYqK1YMECq379+lbp0qWtO+64wzp79myeP7s4KUi5efXVV62aNWtaFy5cyHaZMWPGWM2aNcvxs/OzvbF98sknVlBQULafXVTlxq31CxAoaEEEgDzSI/OrV6+Wbt26pT+mR9P1vh5tz8n48eNNt7377rsvy+e1W6i2+hw8eNDM5bV06VL5+eefzdF7pS0GK1asMO+hy1auXFk6deqU6ai/P2krxsiRI01LRmhoqPTp00eGDx8uL7/8snz77beyY8cOGT16dJHFUxzKjXYhrVatmmkJ7N27t2ndy0+5yUjjWLdunVc5/PLLL+XixYvmPRo0aGC6q956662yf/9+8QXtzviPf/xDfvjhB/Oe+t5///vfZe7cufL555/L4sWLZerUqT75rEtJQcuNlod27dqZLqa6nWjcuLE8//zzZmohT9u3b5fY2FipWbOm3HnnnbJv37705wqyvTl27Ji8/fbbZvmwsLBC//+UG8A5zIMIICDozu25FO8dmKISERaSp1Hvjhw5YnaydGfJk97funVrtq/Tnao33njD7JhnR3d0+vfvb3bONfnSHUHtFqbn/Khdu3al7zRNnjxZmjdvLm+99ZZ07dpVNm7cKHXq1BF/0+6xdrfDRx99VO644w756quvpEOHDuYxTTr0PLYipQ2gKUniiLBIHS7Rb+WmXr16MmvWLHNe4MmTJ833rjvfmiRqOclLuclIy6Emgfo+Ni1bmiBqEqHJfnR0tDkQoN0U169fLyVKlJDCeO6557zKyIgRI0xXRE1MlHZJ1MT2ySeflCLd3qT+fi5dUYoIjfDr9ka/z6+//tokfXreoR64GThwoJnyQQ/yKD2XUX+rWsbsbsfa9V23JaVLl87X9ka/N03kdIL6tm3bymeffSa+EIjlBiguSBABBARNDhuOXuTIZ28e30MiS/hnc3j69GkzcIPutFeoUCHb5XRH/8cffzRH/7XFaNmyZaYFQI/wa4uB7sCrBx98UO655x5zu0WLFiZB0yRi4sSJ4m+aqNjsndYmTZp4PZaXczF9SpPD52PFEU//IlIiym9vr61AerFpUqfJ3YwZM+TZZ5/NU7nxpIOLaOvLqFGjvB7XsqXJwyuvvJLe8vjOO+9ITEyM2QEv7LmIGcuNDqBk7+Tbj+VnoCdf0OQwfm68OGFFnxUSqQcX/ES/T235e/31180k8a1atTKtwy+++GJ6guh5/ql+P5owavnR8wk1GcvP9mbYsGHmNXp+rCaad999t0kSCzvVRCCWG6C4IEEEgDzSBE93uBITE70e1/u6M50VPeKtg0Vcf/316Y/ZO1/a4qODO+jO/NNPPy3z58+XXr16pe8caYujHr3XHX0dIVDpKJWeNGHw7BrmKxm7oynPbmP2zl/Gx+z/DYUrN1nRda076doiZCd8uZUbTzpgibby6A68p6zKVsWKFU3c+SlbWZUZO27PMpKx+yHlxrflRr9PXcf6Ws/tREJCgum2mlWLsI54rCOd2mUrP9sbjVMv+np9XrtD60ELz4MbOaHcAIGHBBFAQNBuntqS59Rn54XuWOnReD2Kbk9ToTsoel9H98uKDh2/YcMGr8e0+562LGp3Pt2ZSk5ONi04nqMDKt3Bs3eAdJh7TSQ1ofSk55t5tgYUlOdO6K+//mrOfXMFbYnRljynPttP5Sa7HWktS9ddd525r2Umt3KTsXupTkugyZ8nuxufli2766qeT6ZdHLVVKa/lxu6W6AbazVNb8pz6bH+WG/0+taVYl7XLhm4nNOnLrruw/t71YJb2dijM9sYud+fPn78kyw1QXJAgAggIejTYX908fUmHnO/bt6+0bt1a2rRpYwZNOHv2bHo3LKUtNDqkvHbD0vnBdJAIT/b8hPbjutOmA0BoVy2dy053yr/55htzzo9OP2CvH31eu4jpUPd6TtCbb75pzkXSliGbHt3XnXu91oTCPu+xdu3aZmqD7EyZMsW8r55/ZndB1J3Do0ePSkDTlkw/dvN0qtzYAxvpOV363em8dtpFULvx3X///elTYORWbmzaMqTdTz3nwrNpy48OgKPnlWq3RH1fPd9LD27oNAY50Ri1NUvP6Rs6dKh5TM9R08Qm4Lc3fuzm6WS50Slu9JxA/T4ffvhhMxiNnl/6yCOPeJ1PrL0atMzovIW6XdEDC3pecV63NzqIjU590bFjRylXrpxJMHXbUatWrVxbD91aboDiIvD3xgAggNx2222mhU1H69QuW7rjpPPQeQ4koclZxlad3MybN8/slOvAEprg6Y6bTnr/0EMPpS+jc9xpa+OQIUPMMrrjpiNQ6g6ZTePSHTmbdklUei5Z586ds/18ne/s9ttvN//bAw88YM5j0wm69fHcWpHgn3Jz/Phx813o8roDrjvPOqKjZ7e/vJQbpeeNaetgdqObalKp5Uq7qmoMmnhqfLmNRqkDm+h7aouRdnfVgx+aVGT3OfB/udFeCYsWLTLfp3Y51uRRk0XPwVwOHDhgkkE9AKQtyprkabdQz9bl3LY3ek7gRx99ZL5vTVq1hVK3F9pDomTJkjn+X5QbILAF6VwXTgcBoPjRHY/du3dLjRo1TCsbnKOtBXoem92NDciNnlerv921a9eapAUIpHJD/QIUDvMgAgAAAAAMEkQAAAAAgME5iABQzHGmAfJLR7mk3CC/KDeAO9CCCAAAAAAwSBABAAAAAAYJIgBH0d0IAOBL1CtA4ZAgAnCEPb9aUlKS06EAAC4hdr2S2zyeALLGIDUAHBESEmImRz58+HD6pMs6Hx8AAAVtOdTkUOsVrV+0ngGQf0EW7fAAHKKbn4SEBDlx4oTToQAALhGaHMbExHDQESggEkQAjktLS5OUlBSnwwAAuJx2K6XlECgcEkQAAAAAgMEgNQAAAAAAgwQRAAAAAGCQIAIAAAAADBJEAAAAAIBBgggAAAAAMEgQAQAAAAAGCSIAAAAAQNT/A8S2JNC2/MWYAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x333 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fan = analysis.RayFan(doublet)\n",
    "fan.view()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that the y-axis scale of this plot is significantly smaller than that of the singlet. We can confirm that chromatic aberrations have been significantly reduced."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
